Sterling latched onto a pass from Jose Enrique and skipped beyond two Leverkusen defenders before curling an effort into the bottom corner.
It was a goal that left Rodgers satisfied in more ways than one - and the manager believes he's witnessed the 17-year-old winger mature over the last few weeks.
"I was pleased with the goal as a whole," he explained to liverpoolfc.com. "If you look back at the images of it, it was good pressure on one side of the field when we won the ball and took it out of the pressure zone.
"I like wingers to play with width, and by the time the ball got to Jose Enrique, he (Sterling) was in a great position.
"His movement off the ball was very impressive - he's made a great run and Jose played a terrific pass, and the rest was that imagination and creativity that I love when he cut inside and scored with a wonderful finish.
"The boy is a talent. He still has an awful lot to do and an awful lot to learn, but he's shown over pre-season that from a young guy who just worries about himself, he now worries about the team and the responsibility within the team."