It follows an incident in the 86th minute of Wednesday night’s game at Stamford Bridge.
Both clubs have until 6pm on 17 February 2015 to respond to the charge.
Meanwhile, Chelsea’s Branislav Ivanovic will not face any further action in relation to an incident involving Everton’s James McCarthy in the 86th minute.
In Premier League matches, if an incident has not been seen by the match officials, a three-man panel of former elite referees will be asked by The FA to review it and advise what, if any, action they believe the match referee should have taken had it been witnessed at the time.
For an FA charge to follow, all three panel members must agree it is a sending-off offence.
In this instance, the panel did not believe the conduct was worthy of a dismissal.