The French defender also revealed that he could hear the United players “shouting” at each other in the visitors’ dressing room at half-time following their abject first-half display.
United secured all three points thanks to Wayne Rooney’s second-half goal but failed to convince over the course of the 90 minutes - and Sakho clearly feels Liverpool were unfortunate to lose the match.
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"United were lucky today and they know it,” Sakho was quoted as telling Canal+ by the Manchester Evening News. “We could hear them shouting in [the] dressing room at half-time. We ate them."
The stats back up Sakho’s assessment of the match: Liverpool had 53 per cent possession compared to United’s 47 per cent, and 12 more shots at goal than Louis van Gaal’s side.
Liverpool's top-four hopes take a blow
But the stats are meaningless compared to the final score and Liverpool now find themselves six points behind the Red Devils after losing for the seventh time this season.
Jurgen Klopp’s primary objective after replacing Brendan Rodgers at the start of October was to secure a top-four finish - but the Reds’ chances of finishing inside the Champions League places have now suffered a serious blow.
Van Gaal says United can win the title
United, meanwhile, find themselves seven points behind league-leaders Arsenal - and Van Gaal, speaking after the win at Anfield, believes a title challenge is not out of the question.
"We can do it," the veteran Dutch coach was quoted as saying by FourFourTwo. "This game shall give a big boost to the players, the fans and everyone in the environment of Manchester United.
"Now we have made a good start in 2016, to beat Liverpool for the second time in a row is it marvellous, it gives a big boost for the players and the fans so I hope it shall continue with winning.
"That is why we are here, to win our games and at end of the season to be in the first three positions of the league."
Were Manchester United lucky to beat Liverpool - or were they good value for their win? Have your say by leaving a comment below.