Saints' keeper Angus Gunn saved Theo Walcott's penalty and defender Cedric slotted his effort past Maarten Stekelenburg to put the visitors into the last-16 where they will play away at Leicester City.
Images from the English Premier League matches played on Saturday
Gerrard's side turned their fortunes around at the expense of the visitors under Lampard
IMAGES from EPL matches played on Thursday.
Manchester City celebrated their Premier League title on Sunday, beating Chelsea 1-0 with an early goal by Julian Alvarez in the team's home finale at a sun-drenched Etihad Stadium.
Manchester United closed in on the Premier League's pole position after a 2-1 home win over Aston Villa on Friday put them level on points and games played with champions and leaders Liverpool.
Liverpool will resume their quest for a first top-flight title in 30 years against Everton on June 21 but the venue for the behind-closed-doors fixture was not confirmed when the league released its revised fixtures for the season's restart.
Manchester City's long winning run in the Premier League finally came to an end
Ancelotti replaces Zinedine Zidane, who left Real last month.
IMAGES from the English Premier League matches played on Tuesday.
A ninth successive win in all competitions for United was celebrated with real vigour, as they moved to within a point of City in second, giving Arsenal the chance to go eight points clear at the top of the standings with a win over Tottenham Hotspur on Sunday.
Images from the English Premier League matches played on Sunday.
Images from the English Premier League matches played on Saturday
IMAGES from the English Premier League matches played on Saturday.
Images from Saturday's Premier League matches.
Images from Saturday's action in the Premier League.
Images from Saturday's third round matches in the FA Cup.
IMAGES from the EPL matches played on Saturday.
A round-up of Saturday's action in the Premier League.
A round-up of Sunday's action in the Premier League.
Frank Lampard has been tasked with a tough challenge of resurrecting Everton
Images from EPL matches played on Wednesday.
Manager Roberto Martinez described Romelu Lukaku as the perfect striker for Everton after the Belgian bagged his 19th goal of the season to secure a 2-1 win over Manchester City on Wednesday.
Images from the English Premier League matches played on Sunday.
A round-up of Saturday's action in the Premier League.
Sixth-placed United's chances of finishing in the top four were dealt a blow at Goodison Park and the nature of Sunday's defeat prompted manager Ole Gunnar Solskjaer to issue an apology to fans ahead of the clash with their city rivals.
A round-up of the action in the English Premier League on Monday.
New Everton boss Sean Dyche's reign began with a shock 1-0 victory over English Premier League leaders Arsenal.
Chelsea striker Diego Costa must serve an extra one-match ban after being sent off in last month's FA Cup tie at Everton, the Football Association said on Friday. "Following an Independent Regulatory Commission hearing on Thursday, Chelsea's Diego Costa has been given a one-match suspension, fined 20,000 pounds ($28,600 ) and warned as to his future conduct," the ruling body said in a statement. Costa admitted a charge of improper conduct in relation to his behaviour after he was shown a second yellow card in the FA Cup quarter-final at Goodison Park.
Images from the English Premier League matches played on Wednesday.
Steven Gerrard scored two penalties as Liverpool went back to the top of the Premier League with a 2-1 win at West Ham United to complete a Merseyside win-double over London clubs on Sunday.
Striker Mariano's header was glanced onto the crossbar by Sociedad's Andoni Gorosabel while the loose ball fell to Marco Asensio, whose shot was deflected wide for a corner from which Raphael Varane header hit the top of the bar.
IMAGES from the English Premier League match played between Everton and Manchester City on Wednesday
Roberto Martinez has been named Everton manager after leaving Wigan Athletic where the Spaniard forged a reputation for making the best of limited resources and playing attractive football.
A summary of Saturday's action in the Premier League.
Manchester City's fingertip hold on their Premier League title was loosened further after a demoralising 2-0 defeat at Everton on Saturday left them hoping for a footballing miracle.
Manchester City's Argentina striker Carlos Tevez scored a hat-trick two days after he was arrested as they cruised past Barnsley 5-0 to join history makers Wigan Athletic in the FA Cup semi-finals on Saturday.
Edinson Cavani and Anthony Martial struck late goals as Manchester United claimed a scrappy 2-0 victory over Everton at a bitterly cold Goodison Park,
Everton battled back from two goals down to draw 2-2 at home to Liverpool in the first Merseyside derby of the season at Goodison Park on Sunday.
Liverpool regained their place at the top of the English Premier League with a 2-0 win at Cardiff City on Sunday that restored their two-point lead over Manchester City