The 27-year-old Scotland midfielder appeared to push visiting striker Fraizer Campbell to the ground having already been booked - but referee Michael Oliver ended up booking Potters striker Peter Crouch.
"If you look at cold, hard facts he (Adam) should have been sent off," said Mackay. "We will see what happens with that one, I have put my request in to the PGMO in terms of clearing up the issue.
"I am certainly not someone who is waiting on apologies from (Professional Game and Match Officials boss) Mike Riley every week. I know it has been something you guys (the media) have been driving but it means nothing to me, I don't really care.
"They do the best job they can the referees, sometimes honest mistakes happen.
"Michael Oliver is a good referee and he refereed the game well last night, apart from not giving us a penalty (for a Marc Wilson challenge on Campbell) and not sending off a man, he refereed the game well!
"I think it is the clearest way it can be, for the referees' boss to speak to his referee and his assessor and determine what happened after the incident once they have the chance to see television footage.
"Things happen in split seconds, once they are able to reassess on televisions and then the head of the PGMO phones the manager of the team, I don't see how it can be clearer than that.
"From the media's point of view it is a private conversation which probably frustrates the media as they don't get to hear about it unless the manager decides to speak about it."