Rashford and United are approaching the end of their second season under Mourinho's guidance, and the England worldwide believes he now has a better understanding of how the Portuguese works and what he expects from certain individuals.
"United first half and Liverpool second, but in my opinion our first half was a half with goals and danger", he said.
Klopp had previously criticised the way Mourinho had set United up to play against his Liverpool team, feeling that the Red Devils were better than simply "parking the bus".
Marcus Rashford says he is mature enough to need no explanation from Jose Mourinho for his absence from a Manchester United starting XI. "I am not upset at all with that reaction", he said. We have to know where we made mistakes to improve.
"I'm more comfortable in the middle, but if you get past a player on the left that's where you are going to be", said Rashford.
That is a big deal for this team as Manchester United were quite often thought of as a team that struggles against the best Premier League sides.
Manchester United came out triumphant against Liverpool to go five points clear of their archrivals.
"I think in modern football you live day-by-day and week-by-week and match-by-match, and we have a match in two days", he added. However, he's 25 in August, he can no longer be considered a young footballer and it's extremely unlikely that'll he'll develop the technique and game intelligence required to be a top central midfield player.
"He's fit and if he is trying too hard, that's great. Even in set pieces, corners, unsafe situations. but we were in control so I think we deserved it".
"One of the things Rashford does really well is carry the ball".
"He's fine", said the United boss. It is all about the result and we lost.
United's eagerly awaited league encounter with rivals Liverpool comes with both clubs chasing second spot behind champions-elect City.
Mourinho's team face Sevilla at Old Trafford on Tuesday in their Champions League last-16 second leg before an FA Cup quarterfinal with Brighton on Saturday. "We have qualities, and we have weaknesses".
Burnley doubled their lead on 70 minutes through Wood's close-range finish, which again sparked an angry reaction as chants of "sack the board" rang out before another fan got on to the pitch and took out a corner flag.
Fifth-placed Chelsea moved to within four points of Liverpool, two behind Tottenham Hotspur - who play Bournemouth on Sunday - in fourth, after a nervy 2-1 win over Crystal Palace in the late kickoff.