Bayern Munich have fined both Luca Toni and Philipp Lahm for poor conduct.
Toni was reprimanded for marching out of the stadium having been substituted at half-time in the 1-1 draw with Schalke.
Lahm, in the meantime, criticised the club in an interview with the German press.
Both have been issued hefty fines for their actions which were slammed by manager Louis van Gaal and chairman Karl-Heinz Rummenigge.
"Leaving the stadium early and without permission on Saturday during the Bundesliga game at the Allianz Arena was an unacceptable lack of discipline on the part of Luca Toni," read a club statement.
"He has therefore been given a considerable fine by the board. Independent of this, Luca Toni has since apologised to his team-mates and the club for his conduct.
"Philipp Lahm, in his role as vice-captain, has broken the club's internal rules in a clear and inexcusable manner by publicly attacking the club, the coach and his team-mates in an interview."
Rummenigge was disappointment by Lahm in particular, whom he believes should be setting an example to the other players.
"I'm disappointed, because he is the vice-captain here and holds a particular responsibility for the team and the club.
"Philipp Lahm will therefore be fined an amount which has never been sanctioned by FC Bayern before," added Rummenigge.