Match Highlights: HJK Helsinki 0-2 Liverpool | Origi & Coutinho scores [Video]
After a slow first half at the Olympic Stadium in Finland, substitute Divock Origi and the returning Philippe Coutinho found the target to secure a 2-0 victory.
It was a fourth win in five pre-season fixtures for Rodgers' charges as they build up towards the campaign opener at Stoke City next weekend.
"I was pleased," the manager told Liverpoolfc.com post-match. "We were better in the second half than the first. We tried to look at something in the first half.
"But our fluency was really good in the second half and obviously we scored a couple of really good goals. I'm pleased - another good workout for us in the last of our pre-season games abroad.
"In terms of everything that the players have been through - all the travel around the world - they are in good condition.
"We still have another week's good work to do, but we'll really focus in on that and come Stoke, we'll be ready."