The Los Blancos superstar found the net twice at the Allianz arena as he ended a European goal drought, having not scored in the Champions League since September.
Ronaldo also created a new record as he became the first player in history to score 100 European club goals.
The 32-year-old faced a lot of criticism recently for not scoring enough, but he said he does not care about critics as his true fans “never have any doubts” about his ability to perform.
“I don’t know who doubts me,” he told the media. “People who love Cristiano never have any doubts. You have to tell me who doubts me because none of it has come to me.”
“I’m happy, I wanted to reach this record. To do so is an honour and to do it against a team like Bayern is even better.”
Ronaldo put Real on level with Bayern in the 47th minute before adding another goal just 13 minutes from time.
“I’m very happy. The team reacted really well,” he said. “It’s not easy to play here against a really difficult team and, losing 1-0 in the first half, we had good feelings about the second.”
“We played really well, we scored early [after half-time] and the game became easier. It’s a deserved victory and everything is open for the second leg.”
“[Manuel] Neuer was good, he made a few saves. Sometimes we score, sometimes we do not. If Neuer doesn’t have a day like that then maybe we could score more goals.”
“Football is like that. If Vidal had scored the penalty, it would have been a different game. Football is a box of surprises and in five minutes everything can change.”
Ronaldo also revealed that he has changed his approach towards training and doesn’t mind being subbed or rested by Zinedine Zidane.
“I’ve made a radical change in training in order to reach the end of the season in top condition,” he added. “In recent years I’ve reached the end of term at my limit, with a little injury.”
“I’ve worked with the fitness coach to be good for these two months. The team is good and Cristiano is playing well.”
“The rotations? It’s something for Zidane and myself. We work in tune.”