Liverpool suffered a disappointing defeat in the final of the Capital One Cup at the hands of Manchester City on Sunday and despite losing on penalties, the Reds had allowed a very poor goal from a defensive point of view in the second half.
Carragher was very critical of Mignolet and Moreno's respective faults in the concession of Fernandinho's goal and has stated that Liverpool should look to invest in a new goalkeeper and left-back next season or at least be replaced by current squad members.
Carragher told Sky Sports: "The left-back has to come out of the team. This is not a one-off today in terms of the goal.
"(Jon) Flanagan has come back fit and has to go into the team in midweek, he (Klopp) has to change the left-back. Flanagan played left-back when they nearly won the league. He can't be worse than him (Moreno).
"The goalkeeper has made some outstanding saves today, but just because you make some outstanding saves doesn't mean you should be allowed to concede a goal like that. And that is not just today.
"Going forward for Liverpool, those are two areas Jurgen Klopp has to change in the summer. The goalkeeper may have signed a five-year deal, and he has made some good saves today, but things have to change.
"It starts with the left-back Moreno. He splits initially from a goal kick, but now he knows isn't going to receive the ball he has to get back.
"Sergio Aguero is in the right position to pick up the ball because his opposite full-back has gone in to go for a header. And then he (Moreno) doesn't see the run. But that (the goalkeeper) is shocking. You can't score from there."