Hearts full-back Danny Grainger has been suspended for two matches after accepting a charge of violent conduct.
The Scottish Football Association's compliance officer brought forward the complaint after studying footage of Kilmarnock's 1-0 win at Tynecastle.
Kilmarnock's Dean Shiels was widely quoted after the game criticising Grainger for stamping on him.
Hearts have since confirmed to the SFA that Grainger has accepted the terms of the ban.
Hearts had Ian Black sent off during Saturday's defeat and the midfielder will serve a three-match suspension.
The dismissal, for a late lunge at Shiels, triggers an automatic two match suspension, while an additional game is added since it was Black's second red card this season.
Hearts owner Vladimir Romanov was critical of referee Alan Muir's handling of the match against Kilmarnock.
"Ian Black's sending off played its part and the whole game turned into farce," Romanov told the club website.
"For a hand ball of the opponent we were not given a penalty, however Kilmarnock got theirs, but what for - as it is not clear why the 'guilty player' was allowed to play on?"