Defender Jamie Carragher claims Liverpool's turbulent season can still be regarded as a success should they win the two cup competitions they remain in contention for.
Saturday's 1-1 FA Cup third round draw with Reading has left them hanging on in a competition they last won in 2006.
The Reds also harbour hopes of Europa League glory after dropping into Europe's second-ranked club competition following their Champions League group stage exit.
"At the start of the season you have four trophies to go for and we are out of two of them," he told the club's official website.
"We have two left to go for and the top four to aim for, so for me there's no priority. But winning a trophy to me is the most important thing."
Referring to the patchy Premier League form which has left the Merseyside club down in seventh place in the table and unlikely to claw back the 12-point gap to leaders Chelsea, Carragher added:"It would be a different season if we won the FA Cup.
"We've had a lot of criticism this season and it was the same in 2005 and we won the Champions League, so everyone forgets about what else happened then.
"If we win the FA Cup or Europa League everyone will remember the 2009-10 season as one where Liverpool won a trophy, so I'm determined we leave our mark on the season."