However, the 39-year-old praises his players' "attitude and application" at Anfield on Sunday, as the Reds continue the search for their first home league win of the season.
"We're disappointed we didn't win the game," he said. "The attitude and application of the players was terrific and we stood up to the real physicality of the game, which was a big plus.
"If you can play against Stoke physically, especially with so many young players in the team and technicians, then you know you're going to be alright in your other games.
"I thought as the game wore on we got into good spaces and moments in good areas of the field, but just our final touch or decision at the end of it didn't quite allow us to score."
Rodgers then highlighted the positives he and his players can take from the match.
"We're disappointed not to win, but there were a lot of real positives from the game - and it was our first [league] clean sheet of the season, which was important," he said.
"I was particularly pleased with how we kept going. We kept getting on the ball and getting between people.
"We were throwing bodies into the box, but we couldn't quite get that final touch to get the goal."
Liverpool are currently 14th in the league table with six points from seven matches.