Costa also confronted the referee and the FA has given him until Thursday to respond to the charge that his behaviour after the sending off "amounted to improper conduct".
Chelsea's Diego Costa (centre right) is shown a red card by referee Michael Oliver as he is sent off during the English FA Cup quarter-final
The FA has also given Costa until Wednesday to provide his observations about "an alleged gesture he made towards Everton supporters while leaving the pitch at half time".
Costa is facing having his automatic one-match ban increased.
