Alexander Isak scored his first Liverpool goal to inspire a 2-1 win against Southampton in the League Cup third round.
The Toffees have not won a major trophy for the past 30 years. But Goodison was the scene of the club's bygone glory years.
The point for Southampton takes them to 12 for the season, meaning they have avoided the tag of being the joint-worst team in Premier League history.
Pep Guardiola says Erling Haaland is in contention to start against Southampton on Saturday.
Pep Guardiola's side climb to fourth place, four points ahead of sixth-placed Chelsea, who face Fulham on Sunday in their game in hand.
Southampton have sacked manager Ivan Juric following their relegation from the Premier League, the club announced Monday.
Southampton are still one point behind Derby County's 2007-08 record low Premier League points total of 11.
Liverpool survived a scare from Southampton as Mohamed Salah and Darwin Nunez inspired the fightback in a 3-1 win that lifted the Premier League leaders 16 points clear at the top on Saturday.
Chelsea duly delivered with three first-half goals through Christopher Nkunku, Pedro Neto and Levi Colwill for just a third league win 11 games.
Amad Diallo scored a sensational 12-minute hat-trick as Manchester United roared back to beat Premier League basement club Southampton 3-1.
United's second successive loss after their League Cup exit at Tottenham on Thursday underlined Ruben Amorim's belief that their road back to the top will be long and arduous.
Premier League strugglers Southampton announced Saturday they have appointed Ivan Juric as their new manager.
Liverpool moved into the League Cup semi-finals as the holders won 2-1 against managerless Southampton
Premier League basement club Southampton on Sunday sacked manager Russell Martin after an embarrassing 5-0 home defeat to Tottenham.
Southampton still sit 20th in the Premier League table, four points from safety.
Erling Haaland fired Manchester City to the top of the Premier League as the striker sealed a 1-0 win against Southampton
Arne Slot has now won nine of his first 10 games since succeeding Jurgen Klopp as Liverpool manager.
Bhaichung Bhutia Football Schools (BBFS) signed a grassroots development agreement with Premier League club Southampton.