Furious City boss Roberto Mancini marched onto the pitch and confronted Rasmussen at the end of the game after seeing a goal from Sergio Aguero disallowed and a penalty claim for Mario Balotelli turned down in the closing moments for his side.
Mancini has escaped any UEFA action after Rasmussen and the match delegate at the Etihad Stadium failed to report the incident in their reports.
Danish official Rasmussen claims it is the first time he has been involved in such an incident and he conceded it is not nice being criticised.
"It's the first time I have experienced such a chaotic end of a match," Rasmussen told Sporten.dk.
"It's never nice (with criticism), but that can happen when a match progress like it did."