Referee Phil Dowd sent off defender Branislav Ivanovic in the 93rd minute which resulted in a free-kick from which United levelled matters to prevent the Blues from securing all three points, leaving Mourinho unimpressed.
"I prefer not to speak about the second yellow card, because if I have to speak about the second yellow I have go through many things," he told Sky Sports.
"The penalty on Ivanovic, the accumulation of cards, the fouls that he was not giving, the throws-ins just in front of me."
He then added another jab at the officials, saying, "We have a little space now for our mistakes, or for referees' mistakes."
Despite the result, the Portuguese manager was pleased with his side’s display at Old Trafford.
"My team played a fantastic game – it’s not easy to play against Manchester United who played very compact and tried to catch us on the counter,” he said.
"We had good control of the game we could’ve scored a couple more goals so I’m very happy with my players.”
Mourinho also heaped praise on returnee frontman Didier Drogba, who scored his first Premier League goal since 2012.
"He [Drogba] has scored so many of them for a guy who has only been playing for the last week and wasn’t even able to train,” Mourinho said.
"The way he gave us this 90 minutes I’m so happy with his performance. My team was so good it’s very difficult to speak about individual players."
Following the draw against United, Chelsea’s lead at the top of the table has been cut to four points over second-placed Southampton.
