Referee John Beaton awarded Celtic a penalty after the Dutchman fell to the ground following a coming together with Saints full-back Dave Mackay.
As the last man, home skipper Mackay was sent off. Nir Biton slotted home the resulting spot-kick to put the champions 2-0 up before Callum McGregor added a third late in the match.
After the game, St Johnstone manager Tommy Wright said they would lodge an appeal claiming: "If there was contact with Boerrigter it was minimal and it didn't make him go down. He didn't go down in the contact, that is clear for everyone to see."
Now the SFA has issued a notice of complaint against Boerrigter claiming he 'caused a match official to make an incorrect decision by committing an act of simulation'.
Boerrigter has been offered a fixed penalty of a two-match ban. Should he decide to appeal the suspension, he must notify the governing body by 3pm on Monday.
At the same hearing Mackay, who was red-carded for 'denying an obvious goalscoring opportunity', lodged an appeal for wrongful dismissal.
His case will be dealt with by a tribunal on Thursday, August 21.