Marouane Fellaini and Steven Pienaar are both set to miss Everton's next two games after picking up suspensions against Manchester City on Saturday.
The bans mean the pair will sit out the visit of Stoke City on Saturday 30 March and the trip to Tottenham Hotspur on Sunday 7 April.
South African Pienaar received his two-match suspension after seeing red for the second time this season, while Fellaini's first-half booking - his 10th of the campaign - triggered an equal punishment.
Referee Lee Probert showed a yellow card to Fellaini early on for a challenge on James Milner, while Pienaar's infringements came either side of the break, first in a challenge with Gareth Barry, then with Javi Garcia.
Pienaar was also sent off during Everton's 1-1 draw at QPR in October.
The FA's next amnesty deadline is on Sunday 14 April.