Ole Gunnar Solskjaer’s men showed early promise in the second leg tie before Lionel Messi exuded excellence by curling into the bottom corner on 16 minutes.
Just four minutes later, United goalkeeper David de Gea failed to make a routine save with the ball trickling underneath him and into the net. Philippe Coutinho wrapped things up with a superb strike in the second half.
Here, Sportsmail’s CHRIS WHEELER runs the rule over the players at the Nou Camp.
Manchester United were knocked out of the Champions League by Barcelona on Tuesday
MARC-ANDRE TER STEGEN – 6.5
Hardly troubled after early scares but made a fantastic reflex save from Alexis Sanchez in 90th minute.
SERGI ROBERTO – 6
The only change from first leg, had a great chance to score right on half-time but De Gea somehow kept it out.
GERARD PIQUE – 7
Shaky start as United created early opportunities, but settled well against his old club after that.
Gerard Pique holds off Jesse Lingard during Tuesday night’s second leg at the Nou Camp
CLEMENT LENGLET – 6.5
Made sure that United’s greater height and strength didn’t hurt Barca over the course of the two legs.
JORDI ALBA – 7
Got forward brilliantly down the right to cause United all sorts of problems and comfortable in defence.
IVAN RAKITIC – 7
Had a penalty award overturned and nearly scored with a header. Very lively from the Croat.
SERGIO BUSQUETS – 7
The Mr Dependable of this Barca team. This was his 45th home game in the Champions League without defeat.
Sergio Busquets challenges Paul Pogba with a sliding tackle in the middle of the pitch
ARTHUR – 7
Got away with an early slip and kept things ticking over in midfield with a tidy performance.
LIONEL MESSI – 9
Subdued in the first leg, sublime here. What a first goal. What a show. What a wonderful player.
LUIS SUAREZ – 7
Cut a frustrated figure at times but still did more than enough to keep United busy.
PHILIPPE COUTINHO – 7
Exploded into life with the kind of stunning strike we are used to seeing from him in the Premier League.
Philippe Coutinho curled expertly into the top corner to complete the scoring for Barcelona
Subs: Cillessen, Semedo (for Roberto 70, 6), Dembele (for Coutinho 81), Malcom, Vidal (for Arthur 75, 6), Umtiti, Alena
Scorers: Messi 16, 20, Coutinho 61
Manager: Ernesto Valverde – 8
Has guided Barca into the semi-final for the first time since 2015, and with something to spare it has to be said.
MAN UTD (4-3-3)
DAVID DE GEA – 4.5
Horrible mistake for the second goal, allowing Messi’s shot to creep under his body. Not at his best this season.
Lionel Messi scored twice with a helping hand from Manchester United keeper David de Gea
VICTOR LINDELOF – 5.5
Played at full back due to Shaw’s suspension but struggled and United needed his composure in the middle.
CHRIS SMALLING – 5
Couldn’t get close to Messi and Coutinho for the first and third goals. A torrid night for him.
PHIL JONES – 5
Played with a bandaged head but that won’t have helped the dizzy spells from being turned inside out by Messi.
ASHLEY YOUNG – 5
Lost possession to Messi for the first goal when he had chances to clear. A big mistake at a crucial time.
Ashley Young had a night to forget and was guilty of giving the ball away for Messi’s opener
FRED – 4.5
Got away with early penalty call but nutmegged by Messi for the first goal and knocked off the ball for the second.
SCOTT McTOMINAY – 6
Excellent in the first leg but a little overwhelmed here. Miscontrolled in front of goal early on.
PAUL POGBA – 5.5
Failed to deliver on the big stage again. His frustration showed as he kicked out at Arthur before half-time.
JESSE LINGARD – 5.5
Struggled to get in the game and use his pace as Barca took control and the wheels came off for United.
MARCUS RASHFORD – 6.5
United’s liveliest player again but it could have been so different if he hadn’t hit the bar right at the start.
Marcus Rashford could not stop United being comprehensively beaten in the second leg
ANTHONY MARTIAL – 4.5
Largely anonymous from the Frenchman who was first off. Another gifted player who can do so much more.
Subs: Romero, Dalot (for Martial 65, 6), Pereira, Matic, Mata, Sanchez (for Lingard 80), Lukaku (for Rashford 73, 6)
Manager: Ole Gunnar Solskjaer – 6
Talk of a fairy tale return to the Nou Camp evaporated with two goals inside the opening 20 minutes. Game over after that.
Referee: Felix Brych (Germany) – 7
Got the one big call of the night right with the help of VAR, reversing a penalty award for Fred’s challenge on Rakitic.
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