Mirallas was booked for leaving a foot in high on Suarez's knee with Liverpool leading 2-1, and Everton afterwards rallied to lead the match until Daniel Sturridge's late equaliser.
|6/1||Liverpool are 6/1 with BetVictor to win the title|
"I thought Mirallas should have went," he told BT Sport.
"It would have been interesting if Luis Suarez had made the challenge. It was a poor, poor challenge. Those are career-threatening challenges. It should have been a red."
Despite the decision, Rodgers was happy with the character his side showed to claim a point away from home in a pulsating Merseyside derby clash.
"When you come to your rivals, it's very important that you don't lose," he added. "Everton have a great home record, you have to show resilience and character, and we showed that.
"We can score goals – we showed that again today.
"Overall I'm delighted with the character of the players and [it was] a good point away from home.
"There's a hell of a long way to go and there's some great teams up there, but we feel like we're improving all the time."