Rashford's double - on his first Premier League start since Boxing Day - proved decisive, as Liverpool couldn't add to the Bailly own goal as they slipped to a first defeat in eight games in all competitions.
But Aldridge has disagreed with Klopp for blaming the result on the lack of a penalty decision.
Some might suggest Mourinho is past it but with two trophies in his first year and now sitting five points ahead of third-placed Liverpool in the Premier League, things are on the up at United.
Thompson was quick to say on Saturday that Jose Mourinho schooled Klopp with his tactics at Old Trafford and the midfielder has now insisted that man for man, Liverpool are the equals of runaway league leaders Manchester City.
"Probably you are not expecting my answer - but I'm happy with the decision", Mourinho said when questioned about the incident.
"Liverpool pushed us into defensive situation but we kept control".
"I think we were all on the same page".
Romelu Lukaku did pull one back for United but they've crashed out at the last-16 stage. No he will not.
We've seen him score on his Premier League, Champions League, Europa League, FA Cup and League Cup debut - he's just such a natural talent.
United are also confused because Alexis Sanchez, who seems to think he is still at Arsenal with the way he is playing, is losing the ball far too often and it has hurt their fluency.
I thought it was odd playing Firmino in midweek as he looks exhausted now and while he might start nice and sharp, I think his impact will have lessened. He starts some and comes from the bench in others. If he is breached then United need to change the way they play and really open up, which they don't want to do with Liverpool's counter-attack being so brilliant. He [Rashford] played for Manchester United many, many, many times.
"Unfortunately, we couldn't break them down", the defender said.