The England under-21 midfielder was sent off in controversial circumstances on Saturday, as he slid in against Luis Suarez on 23 minutes of the Merseyside derby.
Despite looking to have won the ball, Rodwell was given his marching orders by referee Martin Atkinson.
Goals from Suarez and Andy Carroll gave the Anfield outfit the three points, but with Rodwell being dismissed whilst the game was still at 0-0, David Moyes blamed the decision for Everton’s loss.
With the midfielder set to miss two games against Chelsea and a clash with Fulham, the Goodison Park side will challenge the ruling.
“Following a review of the video evidence we believe the decision to be wrong and we will be contacting the FA requesting that the red card is rescinded,” club CEO Robert Elstone revealed in a statement.
Rodwell has become an increasingly important figure in the Everton first-team, and has been linked with a big money move to Manchester United in the past.
With Everton in mid-table and only picking up two wins so far this season, David Moyes needs the midfielder fit and available if their fortunes are to improve.
By Gareth McKnight