At a glance
Beto dinks ball over Chelsea goalkeeper Robert Sanchez for opener
Another Beto shot goes through unconvincing Sanchez
Iliman Ndiaye seals victory for Everton with a curling effort
Chelsea lose four in a row in all competitions
Goals from Beto and Iliman Ndiaye boosted Everton's chances of European qualification while denting Chelsea's hopes of securing Champions League football next season.
Having scored in each half, Beto became the first Everton player to score twice in one match at their new Hill Dickinson Stadium, with Ndiaye sealing victory late in the second half.
Back-to-back home wins give Everton hope of a first European campaign in eight years, but Chelsea's dismal form continues with a fourth successive defeat in all competitions.
It was an energetic Everton who edged the opening 45 minutes, with Beto catching Chelsea goalkeeper Robert Sanchez dwelling on the ball, only to be rescued by a Jorrel Hato clearance.
James Garner - who received his first England call-up on Friday - later had a shot cleared off the line by Malo Gusto.
Chelsea then had multiple efforts blocked, including one created in open play for Joao Pedro, before a flurry of chances from the resulting corner involving Moises Caicedo, Marc Cucurella and Wesley Fofana.
Moments later, however, Everton opened the scoring as Garner threaded a pass through the defence and Beto beat Fofana to the ball before lifting it over Sanchez first time with the outside of his boot.
Vice-captain Fernandez, who hinted this week that he might want to leave Chelsea, produced an acrobatic volley that was superbly saved by Everton goalkeeper Jordan Pickford just before the interval.
At half-time, Chelsea head coach Liam Rosenior introduced winger Alejandro Garnacho in place of Gusto.
Fernandez again went closest for Chelsea when he curled a shot from outside the box, only for Pickford to save once more.
But it was Beto celebrating again as his powerful strike squeezed through Sanchez after a superb interception and 30-yard run upfield from midfielder Idrissa Gueye to seal the victory.
Chelsea introduced winger Estevao Willian and striker Liam Delap, who had been a David Moyes transfer target for Everton, but Iliman Ndiaye curled a sensational third into the top corner late on to secure a dominant win for the Merseyside club.
Everton move up to seventh in the Premier League, strengthening their push for European football, and sit just two points behind sixth‑placed Chelsea - who now risk missing out on Champions League qualification.
Everton analysis: England's Pickford and Garner lead the way
'Absolutely the best day' at Hill Dickinson for Everton win - Moyes
After the match, Everton's stadium announcer marked Jordan Pickford's 100th clean sheet for the club.
It was a day when the England international outshone his Chelsea counterpart Sanchez, collecting a series of dangerous crosses with conviction and making two outstanding saves from midfielder Fernandez.
Everton fully deserved the win, but Pickford's assured performance made it feel more comfortable, while his potential new England team‑mate delivered the key breakthrough moment.
Having earned his first call‑up on Friday, Garner lined up for his club on Saturday and threaded a through ball to Beto to carve open Chelsea's defence in the match's first genuine moment of quality.
The former Manchester United midfielder, who also often fills in at right‑back, is only now earning plaudits beyond Merseyside and produced another outstanding display.
Unlike Chelsea, this Everton side have grit, passion, energy and cohesion.
That cohesion stems from the limited number of line‑up changes made by manager David Moyes - just 51 so far this season, compared with Chelsea's 99 in the Premier League.
It is part of a strong core built under the new Friedkin ownership, who, through Moyes' leadership, guided the club away from relegation last season and can now look towards a more optimistic future.
There is real momentum behind the Toffees' push for Europe, and a party atmosphere followed as Everton finally secured back‑to‑back home league wins at their new stadium for the first time.
Chelsea analysis: Fernandez criticism highlights a disjointed club
Everton expose younger Chelsea's lack of experience
After Everton's third went in, Chelsea's away end had seen enough.
Following a few minutes of their favoured anti‑ownership chants, more than half of the travelling supporters abandoned their first visit to the Hill Dickinson Stadium.
It highlights the febrile atmosphere of discontent growing around the west London club after their Champions League exit.
After defeats by Paris St‑Germain over two legs - resulting in a joint‑record 8-2 aggregate loss for Chelsea - and a home defeat by Newcastle, this latest result made it back‑to‑back Premier League losses and consecutive 3-0 defeats.
Much of the blame will be directed towards the club's hierarchy, who have come under further pressure this week after vice‑captain Enzo Fernandez openly expressed concern about the January departure of former head coach Enzo Maresca.
Those comments also reflect poorly on current boss Liam Rosenior.
After a strong first month at the club after joining from partner club Strasbourg, albeit with fixtures mostly against lesser opposition, Rosenior has now won just one of his past six league games.
His Chelsea side look more open than ever, despite his insistence that he is implementing a new pressing system. Goals have also dried up, with even his standout performer Joao Pedro now struggling.
It is also a tired‑looking team, having played well over 100 matches across the past two seasons, including their involvement in the Club World Cup. As a result, they have been outrun by every single Premier League opponent this season.
Chelsea's hierarchy expect to qualify for the Champions League via a top‑five finish, but it is not only results - performances like this also cast major doubt on that aim.
They are running out of momentum and energy at the business end of the season, with matches against Manchester City and Manchester United up next.
'Not good enough' - Rosenior disappointed after Chelsea 'gift' goals
What's next for both sides?
Chelsea next welcome Port Vale to Stamford Bridge in the FA Cup quarter-finals on 4 April (17:15 BST). They then host Manchester City in the Premier League on 12 April (16:30).
Everton are without a game for three weeks before they visit Brentford in the Premier League on 11 April (15:00).
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