Clyne wants his side to get payback for the two defeats suffered at the hands of United in the Premier League this season.
Clyne feels the emphasis is on the Reds to attack with the first leg of the tie at home ahead of the first meeting between the two sides in Europe.
The previous two meetings this season have seen Manchester United come out on top twice, with the second game at Anfield seeing Liverpool have chances but failing to capitalise, while Wayne Rooney took the crucial one that came his way.
The defender has told the official Liverpool website: "I think we owe them from the Premier League games, which we probably should have got more out of.
"But we have time now to put things right and [make sure we] progress through the cup.
"We’ve [learned to] just keep fighting to the end. We know we can create chances and if we’re solid in defence we can stop their attack.
"Hopefully we can get the goals and get a good result going into the second leg [it’ll help us] push through to the next round."
Certainly Liverpool will be hoping for a different outcome over the two legs as they look to progress to the last eight and keep their hopes of ending the season with some silverware alive - with the added bonus of playing in next season's Champions League.
One thing the Reds will have to be wary of is not conceding an away goal as they will not want to give United any impetus ahead of the second leg at Old Trafford.