We'll call it a day here, with Celtic, Aberdeen and Ross County joining Kilmarnock in the last eight of the Premier Sports Cup.
Join us for the four remaining matches on Sunday, along with the draw.
Enjoy your Saturday night.
FT: Dundee United 0-4 Celtic
There has been some kind of VAR briefing from SFA Towers, with the incident involving Kasper Hogh deemed accidental due to it being part of a natural action and then there's the rule book about the handball not coming from the scorer, which scuppers the wriggle room for common sense Jim Goodwin is asking for.
FT: Dundee United 0-4 Celtic
An exasperated Dundee United manager Jim Goodwin tells BBC Scotland: "It was a very similar type of game to last weekend at Tynecastle [another 4-0 defeat]. I don't think the scoreline is a fair reflection of our performance at all.
"The opening 15 minutes or so was very good as far as we’re concerned. The press was good at the top end of the pitch.
"We’re disappointed with how we defend the set piece [for first goal]. The delivery is excellent.
"The second goal is the one that really frustrates me, to be honest. "Don’t get me wrong, I’m disappointed in the fact that two Celtic players can run into our box unopposed, but I thought the whole point of VAR was to stop those type of incidents happening.
"There is no doubt about it, the ball strikes off the Celtic attacker’s hand and lands perfectly for his team-mate to go and tap it into the net.
"I know it wasn’t the guy who handballed it who put it into the net, but surely a bit of common sense needs to prevail there. The handball directly impacts on the goal."
FT: Dundee United 0-4 Celtic
Celtic manager Martin O'Neill is happy to be in the next round of the cup but not entirely satisfied despite the margin of victory.
"I thought Dundee United were in the game, they hit the post [twice] before we scored a goal," he tells BBC Scotland.
"Things like that can change the picture. Overall, I was pleased with a lot of the stuff they produced but there were moments where we were really casual.
"It's a good performance for us considering the last time we were here.
"We have two very difficult matches coming up now in terms of trying to get into the Champions League, the prestige, the finance, everything that goes along with it.
"We will try and be as ready as we possibly can. We are trying to get there, these are big, big games.
"It would be lovely to have had maybe another three games played before then, but it’s not the case. We’re ready for it, we’ll have to be.
"If the support is anything like what they gave in the split last season, it will be extraordinary."
Image source, SNSFT: Dundee United 0-4 Celtic
Celtic's next mission is the first leg of their Champions League play-off at home to LASK.
The team from Linz are currently top of the Austrian Bundesliga with three wins from three.
On Friday, they beat SV Ried 4-1, so they are in good form and will have had a bit more rest.
Who stops Celtic domesticaly this season? Already look like a team on a mission. Europe midweek will be a sterner test but, after smart signings, hopefully this club can once again scale the heights in the greatest European stage.
Graham
Utterly predictable. The financial gulf between Celtic and everyone else will simply mean they'll canter to every trophy lift this season leaving the also-rans to fight for the scraps from their table.
Stuart
4-0 but if they play like this against the Austrians there'll be no Champions League this season.
Sean
FT: Dundee United 0-4 Celtic
For United, it's two successive 4-0 defeats.
Manager Jim Goodwin will be upset by aspects of his team's defensive work but the scoreline is definitely a harsh one on the balance of play.
The home side hit the woodwork on five occasions, had more shots than Celtic and earned more corners.
They started both halves strongly but were undone by clinical opponents.
Image source, SNSFT: Dundee United 0-4 Celtic
That's nine goals in their last two games for Celtic.
It's already looking ominous for the rest...
FT: Dundee United 0-4 Celtic
A goal and two assists for Benjamin Nygren this afternoon.
The smiling Swede tells Premier Sports: "The energy is top and that was a big part in getting the double done last season. We need to keep on going."
Hearts and Hibs at home at the same time, during the Festival / Fringe? A busy old afternoon in store in Edinburgh...
We now know 50% of the teams in the hat for tomorrow's draw as Celtic join Aberdeen, Ross County and Kilmarnock in the last eight.
Sunday's games are as follows...
Celtic march into the last eight of the Premier Sports Cup.
Auston Trusty, Camilo Duran, Sebastian Tounekti and Benjamin Nygren got the goals for Martin O'Neill's men.
United made a big contribution to an absorbing game and might have to patch up their goalposts after clattering them five times.
Image source, SNSDundee United 0-4 Celtic
Make that five, Mark.
A long-range effort from Mehdi Merghem kisses the junction of crossbar and post.
One of those days for United...
Dundee United 0-4 Celtic
Mark Reynolds
Former Dundee United defender on BBC Radio Scotland
United haven't worked the goalie, they haven't forced a save out of him.
Yes, they've hit the bar and the post four times, but these are the things they need to start looking at.
If this keeps happening, it is going to be a long season.
Dundee United 0-4 Celtic
Camilo Duran loses the ball inside the home penalty box then races like a demon to win it back near the halfway line, earning himself a huge cheer from the travelling fans.
A great Goodwin team with still no defender, even after all the player changes in this window.
Kenny
Dundee United 0-4 Celtic
United are taking no chances with a groggy Vicko Sevelj, who is replaced by Pan Camara for the final 10 minutes or so.
Dundee United 0-4 Celtic
Vicko Sevelj takes a sore one as Mika Baur arrives late in an aerial joust and clatters into his back.
Dundee United 0-4 Celtic
United have had a lot of joy from their aggressive high press but another chance goes begging as Abdoulaye Yoro hammers a shot high over the top.
Dundee United 0-4 Celtic
Dundee United forward Daniel Benne is left all alone at the front post from a corner but makes a mess of the free header.
Sebastian Tounekti's goal - Celtic's third - effectively ended the tie
Celtic's strong start to the season continued as they swept past Dundee United to book a place in the League Cup quarter-finals.
First-half goals from Auston Trusty and Camilo Duran put the visitors in control, Sebastian Tounekti scored from a counter-attack to end the tie as a contest, and Benjamin Nygren added a fabulous fourth as Celtic eased into the next round.
United struck the woodwork five times but could not find a way through and will be left to rue both their profligacy and defensive slackness.
Martin O'Neill returned to the Celtic dugout after missing last weekend's Scottish Premiership victory over Kilmarnock following a brief hospital stay.
His side enjoyed most of the ball early on at Tannadice but survived a double scare when Julius Eskesen, then Emmanuel Agyei, saw efforts come back off the same post as United threatened an opener.
The first goal instead came at the other end as Trusty met Benjamin Nygren's corner with a lovely glancing header that beat Jack Walton.
With United still reeling, Celtic struck again two minutes later.
Neat build-up play allowed Alex Oxlade-Chamberlain to break into the box and square for Kasper Hogh. He could not supply the finish, but Duran was on hand to prod home from close range.
United wanted the goal ruled out for a handball from Hogh, but a VAR check found it was not deliberate and the goal stood.
United had a penalty appeal for a handball against Oxlade-Chamberlain waved away, then they struck the woodwork for a third time early in the second half when a rocket from Zac Sapsford crashed off the crossbar.
Celtic effectively ended the contest, though, when they broke quickly and Tounekti cut inside Joshua Rawlins and tucked a neat finish past Walton.
Bert Esselink's powerful header looked set to pull one back, but the curse of the crossbar struck yet again.
Mika Baur came off the bench for his Celtic debut and the German midfielder was involved as the ball was worked to Nygren, who rifled a wonderful strike into the top corner as Celtic marched into the last eight.
There was still time for United to hit the frame of the goal one last time, a long-range effort from Mehdi Merghem kissing the junction of crossbar and post.
After a tumultuous campaign last season and a summer of uncertainty in the transfer market, the pieces look now to be falling into place for this Celtic in a fashion that is ominous for the rest of Scottish football.
They gave up some chances, but there was always the sense that the champions just had too many threats for United to contain.
The physicality, movement and work-rate of Hogh, allied to the pressing and pace of Duran, caused all sorts of problems for the home defence.
Tounekti's final product can still often frustrate, but he was a constant menace and took his goal well. Despite the significant loss of Daizen Maeda in the summer, the Celtic forward line is looking strong.
Of course, the true test will come against LASK in Champions League qualifying on Wednesday, but with Baur and Haissem Hassan getting their debuts at Tannadice, O'Neill got what he wanted in their final match before bouncing into Europe.
United manager Jim Goodwin said of last weekend's 4-0 Premiership defeat to Hearts that the scoreline was not a fair reflection of the game.
He may feel similarly about this game, given his side fashioned a number of chances and were denied five times by the woodwork.
There was no lack of desire on show, but Celtic's superior quality, particularly in that final third, ultimately proved the difference.
Dundee United manager Jim Goodwin: "It was a very similar type of game to last weekend at Tynecastle [another 4-0 defeat]. I don't think the scoreline is a fair reflection of our performance at all.
"The second goal is the one that really frustrates me. There is no doubt about it, the ball strikes off the Celtic attacker's hand and lands perfectly for his team-mate to go and tap it into the net.
"I know it wasn't the guy who handballed it who put it into the net, but surely a bit of common sense needs to prevail there. The handball directly impacts on the goal."
Celtic manager Martin O'Neill: "I thought Dundee United were in the game, they hit the post [twice] before we scored a goal. Things like that can change the picture.
"Overall, I was pleased with a lot of the stuff they produced but there were moments where we were really casual.
"We have two very difficult matches coming up now in terms of trying to get into the Champions League, the prestige, the finance, everything that goes along with it. We will try and be as ready as we possibly can. These are big, big games."
Celtic face Austrian champions LASK on Wednesday (20:00 BST) in the first leg of the Champions League play-off.
Dundee United are next in action against city rivals Dundee in the Premiership next Saturday (17:45).
After the opportunity to rate players has closed, the score displayed represents the average from all the submissions by BBC Sport users.
Manager:Jim Goodwin
Formation:4 - 3 - 3
Manager:Martin O'Neill
Formation:4 - 2 - 3 - 1
Manager:Jim Goodwin
Formation:4 - 3 - 3
Manager:Martin O'Neill
Formation:4 - 2 - 3 - 1
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