"We'll always look for different ways to win games. There's no magic formula, just constant work on the training field," Rodgers said.
Liverpool returned to the Champions League with a win but face a challenge to recover the free-scoring form that put them back among the European elite.
Champions League winner Paul Scholes believes Liverpool could be dark horses to win this season's competition.
Gerrard converted a penalty in the third minute of stoppage time to earn Liverpool a 2-1 victory over Ludogorets Razgrad in the Champions League.
Liverpool will hope to take advantage of a goalkeeping crisis inflicting their unheralded opponents Ludogorets.
It will be Rodgers's first match in charge for any Champions League tie and Liverpool's first since December 2009.
"We can't wait to get going. We worked really hard last season to get into the top four and now we get rewarded for that by being in the Champions League," Gerrard said.
"We are unfortunate to be missing one or two but we have still got enough quality in our depth to create that wee bit more and have more efforts on goal," Rodgers said.
Rodgers acknowledged his side lacked quality required to undo the Villa defence in Sterling's absence but insisted he had faith in the other players at his disposal.
Liverpool received a reminder of how tough life will be without last season's two leading goalscorers in a 1-0 loss to Aston Villa in the Premier League.
Brendan Rodgers is confident Liverpool can handle the strain of a hectic period which starts with their Premier League clash against Aston Villa on Saturday.