Rodgers revealed the thinking behind the withdrawal of midfielder Suso 10 minutes before the break, with Jordan Henderson's introduction designed to change the dynamics in the central area.
"I felt that the organisation at the front end of the field wasn't what I wanted really, and you make a decision in the game," revealed the boss, whose side are now unbeaten in seven league fixtures.
"You can let it run but I always try to use my intuition and what I feel is best for the team at that moment. He had some nice touches, he nearly scored but that's a part of the game. I just felt that I'd flip the triangle around.
"We were playing two and one, and I felt that it wasn't so good for us when we didn't have the ball. Then just flip the triangle round and two players going to join in, and that seemed to work well for us."