The Football Association has rejected Everton's appeal against Tim Cahill's red card in Sunday's win over Newcastle.
Everton appealed after the Australia international was dismissed following an altercation with Magpies midfielder Yohan Cabaye at the full-time whistle.
However, the club has confirmed, via their website, that they have been unsuccessful and Cahill will now serve a three-match ban at the start of next season.
Cahill has accepted his punishment, but has accused Cabaye of using language which has "no place either on or off the football pitch".
Cahill issued a statement, through his management company Wasserman Media Group, in which he said: "I accept my three-match ban.
"My reaction at the end of the game was out of character but I was disgusted at comments made to me by Cabaye.
"I don't wish to elaborate on the exact detail of what was said - but his words have no place either on or off the football pitch.
"Cabaye has apologised via his club's website and as far as I am concerned the matter is now closed."
Cabaye, who was cautioned by referee Andre Marriner, had issued an apology on Newcastle's website at the weekend.
"I would like to apologise for the cross words I exchanged with Tim Cahill which resulted in his red card and my booking on the final whistle," said Cabaye.
"It was unnecessary and, regrettably, the result of frustration and disappointment, all in the heat of the moment.
"It is out of character and for that I am sorry."