Lyon president Jean-Michel Aulas says Rachid Ghezzal and Corentin Tolisso will be "severely punished" for receiving red cards in Sunday's 2-0 derby defeat at Saint-Etienne.
Ghezzal was dismissed in injury time, shown a second yellow for tussling with Fabien Lemoine, and Tolisso followed him down the tunnel a minute later for a wild lunge on the same player.
Aulas watched stony-faced from the stands and, following talks with coach Bruno Genesio, has confirmed both players will now face internal sanctions.
He told the club's TV channel: "Bruno Genesio had specifically asked them to respect the laws of the game because when you get sent off you penalise yourself and, as a result, the team.
"Rachid and Corentin wanted to seek justice themselves, probably after a number of things happened that legitimised their reaction but these are things that we should not see.
"I talked with Bruno on Monday and decided to punish them financially, a bit like they do in England.
"When one is a professional player and aspires to make a lot of money, which is normal, then one must accept sanctions equal to their reaction.
"I like them both but they will be severely punished."