The Italians went down 2-0 at home on Wednesday night as they were beaten 4-0 on aggregate by the German champions.
"I'm happy with the effort we put in, but we played against a better team with more experience," Pogba is quoted as saying by Goal.com.
"We would have liked to score early but they didn't give us the chance. They played very well and the first goal made it too much for us in the end."
Juve return to Serie A action on Monday with a trip to Lazio.