The Scottish Championship winners crashed to a 3-2 defeat to Alan Stubbs' men.
Brendan Rodgers is reportedly close to returning to Swansea City, despite being contacted by Celtic.
Dimitri Payet was in brilliant form as West Ham United picked up a 3-1 victory over Watford yesterday.
The Everton manager is coming under massive fire after the Merseyside derby last night.
Adama Traore is yet to make a Premier League start for Aston Villa.
The Hammers manager believes the club have become victims of their own success, but insists they have coped well.
David Moyes is the bookies' favourite to take over at Celtic when Ronny Deila departs.
Everton were beaten 4-0 by Liverpool at Anfield yesterday.
Leeds United beat Wolverhampton Wanderers 2-1 in their last match.
The Everton manager was frank about his side's performance in the 4-0 loss.