An Eric Bailly own goal gave the visitors hope, and three penalty claims of varying legitimacy offered a grievance, but United was largely unfazed by a Liverpool attacking trio that ranks among the Premier League's most fearsome: Mohamed Salah was largely rendered an irrelevance; Roberto Firmino, so key to Liverpool's attacking intentions, was starved of space and time; Sadio Mané was driven into ambushes.
"We can split the halves", he said.
For all of Liverpool's improvement at the back since Van Dijk's arrival in January, they have now conceded 20 goals in nine games against top six opposition this season.
"I'm not the kind of mechanic coach who says A pass to B, B pass to C. Lukaku was confident, from experience, he could be dominant over Lovren".
Marcus Rashford was also on form for United, ending a 10-game run without scoring with a double.
Sanchez has scored once - tucking away the rebound after his penalty against Huddersfield Town was saved - and has two assists in eight starts since moving to Old Trafford in a swap deal with midfielder Henrikh Mkhitaryan.
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How Pogba would have affected the result - for good or ill - is merely hypothetical, but that United produced the sort of display its manager craves without him can not be dismissed. "There were two situations (for the United goals) that had absolutely nothing to do with style". Juan Mata nearly extended the lead but his overhead kick from four yards went agonizingly wide and the first half ended without a shot on target.
"I didn't know Gareth Southgate was here!" You can't win leagues, you can't win big competitions when you are soft-centred and they have to fix that.
The Ivorian diverted Saido Mane's cross into his own net under no pressure to gift Liverpool a way into a match they never looked like drawing. They are on the up.
Once again, Jurgen Klopp stuck with Dejan Lovren starting in his central defence in a big Premier League match and once again it backfired at him. But I am upset with the reaction they had with Scott McTominay.
"The players understand. We want to do well, just like the fans do", Moyes said.
"I mentioned streetwise a few months ago when talking about Liverpool".
Rashford had been booked by Craig Pawson for a first-half foul on James Milner, and Neville - on co-commentary duty for Sky Sports - suggested he might have been shown a second yellow for a separate challenge on Trent Alexander-Arnold.
"In the second half we chased the game which against a team like Manchester United is really hard".