Everton, Liverpool and Arne Slot have been charged by the Football Association after the chaotic scenes at the end of Thursday's match.
The clubs have been charged with failing to ensure their players "did not behave in an improper and/or provocative way" after the final whistle.
Liverpool head coach Slot is charged with having acted "in an improper manner and/or used insulting and/or abusive words and/or behaviour" towards referee Michael Oliver and one of his assistants, which led to the Dutchman being red-carded.
Slot's assistant Sipke Hulshoff, who was also sent off, faces a similar charge for his behaviour both before and after he was dismissed.
The clubs, Slot and Hulshoff have until Thursday to respond to the charges.
Source: BBC Sports
