However, Moore disagrees with his opposite number and insists that it was he who got away with further punishment after shoving the Jamaican defender.
"Ian Goodison's booking had nothing to do with Reid going down," PA quotes the 60-year-old as saying. "Their manager got involved when he shouldn't have done.
"Phil Parkinson shoved Ian Goodison and Goodison has got booked for shoving their manager. The referee has seen one shove, but not the other."
Moore gave a clap to the Valley Parade fans as he left the field and claims that Parkinson told him "enjoy your win, but don't take the Mickey out of the crowd".
"I was upset by that - him telling me what to do," added Moore. "It looks as if he is getting carried away by Wembley and winning promotion."
Tranmere's win sees them draw level with Notts County at the foot of the League One table.