The Reds won the tie 5-3.
Jonjo Shelvey, a 67th-minute substitute, stood out with two strikes while 19-year-old Andre Wisdom marked his senior debut with a header and Sebastian Coates and a Juhani Ojala own goal rounded off the scoring.
"We have come away with a young team into a European game and I want to talk about the five goals we scored which were absolutely magnificent," said Rodgers, who was happy to overlook the errors which saw them concede three.
"Of course we could have defended better and there is no question the three goals we gave away were disappointing.
"But to draw positives from tonight the young players were so courageous and brave to play and show that confidence, and my senior players were very much together and kept the young guys going.
"All round it was very pleasing. It was a chance for the young players to seize that opportunity to play and I think they did that for sure.
"We need to be better in certain areas but I think it is a night of great pride for the club and certainly me as a manager.
"To play like we did and get the goals we did was quite fantastic.
"It was a great [Coates] header from a terrific ball in and for Andre Wisdom, in his first game for Liverpool and especially it being in Europe, he scored a wonderful header."