Norwich's Bradley Johnson was accused of being "stupid" by Newcastle boss Alan Pardew after Tuesday's goalless draw.
Johnson and Magpies striker Loic Remy were sent off by referee Chris Foy with nine minutes left after exchanging pushes and then squaring up head-to-head on the touchline.
Pardew said: "There is probably just enough for the referee to send them off, but Johnson's reaction to the heads meeting, in terms that he got a headbutt when he did not, was the catalyst for them both to get sent off.
"It was his own fault, if he had not have done that then maybe the referee would have taken a more lenient view, but he made such a drama out of it, he should be ashamed of himself really.
"We won't appeal, because I think there was enough for Chris there, but once he has done that stupid reaction, the crowd went all mad and the referee has got no choice really.
"That was the thing the game will be remembered for, when it should not have been because we had some outstanding performances, and I cannot understand how we have not won the game."
Despite the two red cards and lack of goals, it was overall an entertaining duel at Carrow Road but the visitors were left frustrated after hitting the woodwork twice and missing a hatful of chances.
It was a handy point as Norwich crept away from the drop zone and Norwich manager Chris Hughton was satisfied with the performance, although refuted Pardew's version of events over the player scuffle near the end of the game.
"Johnson's sending off was incredibly soft," Hughton said. "I presumed something else had happened apart from what I did see, which was him push Remy in the chest - over aggressively? Not really.
"Bradley has not gone down on the floor. All he has done is pull his head away. Regards the amount of contact, I don't know, but certainly Bradley Johnson is not the type of player who would look to get someone sent off.
"My gut feeling is we will appeal, but you always have to look at it again and make the right decisions."
Tempers had flared at the end of the first half as Scotland winger Robert Snodgrass was involved in a heated exchange with home supporters in the City Stand, which Hughton will investigate.
"Robert is a hard-working and very passionate man and somebody who is always involved in the thick of things," he added.