Martinez's crown slips further with loss at Swansea
Everton were thrashed 3-0 in their League Cup third round tie against Swansea, a result which at least eases a fixture list that is already congested by the Europa League.
Nathan Dyer opened the scoring just before the half-hour mark before Gylfi Sigurdsson doubled the lead in the 65th minute.
Marvin Emnes added the finishing touch in the closing minutes to complete a miserable night in Wales for the Toffees on the back of Sunday's home defeat to Crystal Palace.
Last season's beaten finalists Sunderland are also out having lost the lead in a 2-1 defeat by Stoke.
Jozy Altidore's first goal since December had put the Black Cats in front but the Potters had an even more unlikely matchwinner up their sleeve as left-back Marc Muniesa scored his first two goals for the club. League Two side Shrewsbury followed up their second round win over Leicester with another impressive result, this time turning over in-form Championship side Norwich.
James Collins was the scorer, netting 10 minutes into the second half.
Managerless Cardiff were humbled at home by Bournemouth, going down 3-0 to make it five games without a win.
All three goals came inside 33 minutes, as Charlie Daniels' effort separated two from Dan Gosling.
Manchester United's conquerors in the previous round, MK Dons, continued to impress in the competition.
Benik Afobe scored twice against the Red Devils and repeated the feat against the lesser lights of Bradford to seal a 2-0 win.
Derby saw off Championship rivals Reading 2-0, Johnny Russell (below) opening the scoring in the 67th minute before an Alex Pearce own-goal.
Sheffield United got the better of their fellow League One representatives Leyton Orient, Michael Higdon securing a 1-0 victory in the second minute at Brisbane Road.