The match was arranged for Morecambe manager Jim Bentley, who recently called time on his playing career with the League Two side.
The Premier League Toffees began the friendly brightly and made the most of their domination by scoring three goals without reply before the break.
Portuguese midfielder Francisco Junior opened the scoring from distance, before Apostolos Vellios doubled Everton's advantage. Rodwell added a third on the stroke of the break when he lobbed the ball into the net from close range.
Bentley came off the Morecambe bench with 10 minutes remaining and was allowed to get his name among the scorers by the Everton rearguard with a strike from close range.