Aberdeen manager Derek McInnes and Hearts assistant manager Billy Brown have both been issued with notices of complaint from the Scottish Football Association following their touchline spat at Tynecastle.
And SFA compliance officer Vincent Lunny has also issued charges against Dundee boss John Brown for separate comments he made in newspaper interviews.
He has been accused of making "insulting" comments about former Dens Park goalkeeper Rab Douglas and of making "offensive" comments "suggesting the use of violence" in an interview about former Rangers chief executive Charles Green.
McInnes admitted he had pushed Brown away when the Hearts coach encroached into the opposition technical area while celebrating Jordan McGhee's late winner for the home side in their 2-1 win at Tynecastle. Both men were sent to the stands by referee Alan Muir.
Brown, who is working for administration-hit Hearts without pay, then remonstrated with Aberdeen counterpart Tony Docherty before going down the tunnel.
The 62-year-old has been charged with "misconduct at a match by leaving the technical area in the absence of special circumstances and by adopting an aggressive attitude to a member of the opposing team staff".
McInnes has been charged with "misconduct at a match by adopting an aggressive attitude to a member of the opposing team staff".
Both men have until next Monday to respond with a principal hearing date pencilled in for September 12.
It earlier emerged that Hearts captain Danny Wilson had been shown a red card for foul and abusive language after the game following an incident in the tunnel.
Dundee manager Brown has been accused of breaching several rules including "not acting in the best interests of association football by making public comments of an insulting nature in a newspaper interview accusing Robert Douglas, former goalkeeper at Dundee FC, of telling lies".
Brown hit back at Douglas in a newspaper interview in June after responding to comments made by the former Scotland goalkeeper about his acrimonious departure from the club.
The former Rangers player has also been issued with a similar charge relating to comments made in an extensive interview about the Ibrox club earlier this month.
Brown spoke out after Green, just after his ill-fated appointment as a consultant to Rangers, repeated his claim that last season's Rangers team was the worst in the club's history and that manager Ally McCoist faced a problem if he did not win a major cup competition this season.
Rangers were knocked out of the League Cup by Forfar on the day the interview appeared.
The following week, Brown gave an interview which appeared in several newspapers. In it, he said: "Green's comments were a disgrace. If my own directors had said that about me, I would have taken every one of them by the throat."
The Dundee manager has until Wednesday to respond with a hearing date provisionally planned for September 5.