Second-half goals from Hulk and Sergei Semak sealed the defeat, leaving the Reds with an uphill task at Anfield next week.
Rodgers said: "If we can be solid defensively as a group, we know we can create the chances to score.
"The next goal is vital for us, if we get the next goal it opens up the tie.
"We're very disappointed to have lost the game. After that opening spell, when they had too much space, I thought it was a near-on perfect away performance.
"We had chances to score and should have been in front, and we were defensively solid.
"So to concede the two goals in the last 20 minutes, especially the second one, was disappointing.
"Luis Suarez could have had a hat-trick by half-time but it just wasn't his night but he's been brilliant for us all season."