Everton came from behind to beat Doncaster 2-1 and book their place in the third round of the Carabao Cup.
The Toffees had lost their opening three Premier League games and an upset looked on the cards when Joe Ironside gave Rovers – bottom of Sky Bet League Two – the lead just before half-time with a header from a corner.
Portuguese striker Beto came off the bench to mark his Everton debut with a goal in the 73rd minute, stabbing a long ball past onrushing Rovers goalkeeper Ian Lawlor.
After twice hitting the woodwork, Everton then won it with just two minutes left when Arnaut Danjuma slotted in from 20 yards to ease the pressure on manager Sean Dyche.
Chelsea fought back after falling behind early on against Wimbledon to run out 2-1 winners at Stamford Bridge.
The Blues made seven changes to the team which beat Luton 3-0 in the Premier League, with 19-year-old Diego Moreira handed a debut and Conor Gallagher named captain.
It was the League Two side, though, who took a shock lead in the 19th minute through a penalty from James Tilley.
Chelsea equalised in first-half stoppage time through a spot-kick from Noni Madueke and Enzo Fernandez won it with a second goal in the 72 minute after a mix-up in the Dons defence.
Blackburn romped to an 8-0 win at League Two Harrogate.
Early goals from Jack Garrett and Sam Gallagher set the Championship side on their way, with John Buckley and Dilan Markanday making it four ahead of the break.
Buckley slotted in a penalty for his second goal on 52 minutes, which was followed by a fine free-kick from former Republic of Ireland U19 international Zak Gilsenan.
Teenage debutants Tom Bloxham and James Edmondson completed the scoring in the closing stages.
Burnley won 1-0 at Nottingham Forest with a
Carabao Cup
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Sean Dyche
Conor Gallagher
Sam Gallagher
Enzo Fernandez