Both were sent to the dressing rooms and, having considered referee Peter Walton's report, the FA have decided to charge Mancini.
Related ArticlesEverton-Man City feud reaches boardroomMancini vs MoyesManchester City v Wigan: previewWolverhampton Wanderers v Everton: match previewManchester City players back Roberto Mancini's show of emotionMancini made a mistake picking on MoyesThe FA have written to Moyes to remind him of his responsibilities and conduct but he will not be charged.
Mancini had attempted to defuse the situation by apologising personally to Moyes after the game but, the Italian now has until April 6 to respond to the charge.
A regulatory commission will hear the charge by April 19.
"It was nothing really, and I've no problem with Roberto," Moyes said of the incident today.
"He was fine immediately afterwards, he apologised walking down the tunnel, and I have no problem at all with him, you just get along with it."