Liverpool manager Rafa Benitez said his team's performance against Kaunas was "OK" after their 3-1 win.
Giedrius Barevicius had put the Lithuanian side ahead before Liverpool took control of their Champions League second qualifying round first-leg tie.
"I think it was OK," said Benitez. "To concede a goal wasn't so good but then we came back and we scored more.
"We were never worried even when they scored we were just thinking about scoring more goals than them."
Benitez added: "We always knew we could come back."
Djibril Cisse, Jamie Carragher and Steven Gerrard scored Liverpool's goals on an evening when Peter Crouch made his first competitive start for the club.
"Crouch and all the team worked hard. It is difficult for him as it was his first competitive game for us," said the Spaniard.
"I think we have done enough, but you never know. We need to score an early goal next Tuesday and then we can relax a bit more."
Carragher's goal was his first for six years - the last coming in a 7-1 home win over Southampton in January 1999.
But the central defender said there would be more to come.
"I can promise you it won't be that long before you get another one from me - the manager wants three or four from me this season," said Carragher.
"It's good to get something out of these games but we had a few scares - credit to Kaunas, they caused a few problems for us in the first half.
"Even before they scored they had everyone behind the ball - so when they scored we realised it would be doubly difficult because they had something to hang on to.
"We know we are in a very strong position but the job is not done until after the game at Anfield next week."