Bilic was sent off by referee Michael Oliver after throwing a TV microphone to the ground in reaction to Gareth McAuley’s injury-time equaliser in the 94th minute.
Both have until 6pm on Thursday, 16th February to respond.
Both Bilic and Jurcevic could be handed touchline bans, as well as fines, if found guilty of the charges. As we reported earlier Bilic is likely to be fined £8,000 and get a one-match touchline ban as it is his first offense.