West Ham boss Sam Allardyce and Everton counterpart David Moyes will both appeal against red cards given to Carlton Cole and Darron Gibson.
Cole and Gibson were shown straight red cards for respective high challenges on Leighton Baines and Mark Noble in Everton's 2-1 victory at Upton Park.
Moyes said: "I didn't think either were red cards and we'll appeal. I'll have a word with Sam about appealing as well."
And Allardyce added: "It had a massive effect but we will appeal immediately."
Cole and Gibson are both facing three-match suspensions - leaving both managers angry and ready to contest the decisions by referee Anthony Taylor.
After Cole had given West Ham an early lead, Everton came from behind to win with second-half goals from Victor Anichebe and Steven Pienaar and move into fourth place in the Premier League.
Taylor sent Cole off three minutes after Anichebe's second-half equaliser and Gibson's dismissal came in injury time when he tackled Noble.
Allardyce felt Cole's red card cost his team the match and demanded greater consistency from officials.
He said: "If you compare Carlton's tackle on Leighton Baines to the one Victor Anichebe did on James Collins in the 32nd minute, it was slightly different but exactly the same type of challenge and yet one went without a booking or a talking to and the other was a straight red.
"I didn't think Gibson's was a red card either. In Carlton's case you are looking at a player who has put his foot up and you say 'has he meant to do it? Has he done it on purpose?'
"His eyes are completely focused on the ball when Leighton has come in from the blind side.
"It was how quick the referee got the red card out. He couldn't wait. He didn't deliberate over it."
Moyes believes both players have a good case for their bans to be overturned and said: "I don't think you can put the word 'frivolous' next to this. It's worth the appeal and it's not a stupid appeal.
"I thought it was a case of two players honestly going for the ball."
Everton's victory moved them up into fourth place and Moyes believes his team can sustain their challenge for a Champions League spot.
He added: "We've started well but we're bobbing in and out. We've got some big teams around us and if we can finish in a European spot it would be great.
"If we don't we'll keep going but the players have been excellent.
"We just about deserved the win. It's a really tough place to come and Sam's got his team playing well but some of our play was great."