Meath manager Andy McEntee admitted he felt fortunate that his side got a chance to improve after a disappointing opening Leinster Championship game against Offaly.
The Royal County earned a 2-18 to 0-09 victory against Carlow in O’Moore Park on Saturday to secure back-to-back wins in Leinster.
"If everyone was being brutality honest with themselves, they would admit that the performance against Offaly was a below par performance," McEntee told RTÉ Sport.
"The good thing and the fortunate thing was that we got a chance to show ourselves in a better light.
"The truth of the matter is that it was a better performance today, in the end it was a little bit more relaxed.
First-half goals from Michael Newman and Padraic Harnan left Meath nine points clear at the break and they were comfortable from there on out.
"We worked two good goals, the passing was accurate and we finished well. Two goals in quick succession like that it’s very hard for any team to bounce back.
"We had a few more chances that we didn’t convert, if we had more accuracy in front of goals we could have had one or two more."
Full-forward Newman top scored with 1-06 for Meath. They will play Laois or Westmeath in the Leinster semi-final on 9 June.