The first goal was created in fine style by Rashford and Solskjaer had plenty of praise for the 21-year-old England forward, saying: "I'm delighted for him because he's coming on and he'll be a top, top player".
"It is touch, pass, move, he plays an efficient game and Paul knows he is at his best when he plays that game", added the Norwegian.
"We've had a great start and a slightly hard end to the first half of the season that we've just gone through", Howe said.
"We are Manchester United and we need to be at the top of the league, it is just a reaction of all of the players and everyone is enjoying themselves", said Pogba.
Paul Pogba scored another two goals and added an assist as Manchester United continued their resurgence under Ole Gunnar Solskjaer with a free-flowing 4-1 win over Bournemouth in the Premier League on Sunday.
Perhaps then they were happier after Bailly was sent off in the 79th minute for a reckless tackle, though it did nothing to alter the score line as United played on with the verve and vigour seen so far under the caretaker manager. The French worldwide wasn't part of the matchday squad which defeated Huddersfield Town 3-1 in what was Solskjaer's first match in charge at Old Trafford.
Pogba played a part in four of United's five goals at Cardiff last weekend to get Solskjaer off to a flying start before scoring twice against Huddersfield on Boxing Day.More news: Carabao Cup semi-final: Spurs and Chelsea draw tough opponents
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"Marcus has been class since I've come", Solskjaer told Sky Sports.
But Pogba didn't have to wait long to strike again, doubling the home side's lead after 33 minutes as he rose to power home Ander Herrera's flighted cross.
Starting XI: De Gea (6); Shaw (7), Lindelof (6), Bailly (5), Young (6); Pogba (8*), Matic (6), Herrera (7); Martial (7), Rashford (8), Lingard (6). So this is how we want to play, we want to attack, the manager wants to attack.
They are now just three points behind fifth-placed Arsenal and looking to claw their way back into the race for a top four finish this season. "He's scored two now in three".
One of the requests that Solskjaer made to his players is that they should improve in possession.
Bournemouth had a penalty appeal waved away in the 70th minute when Bailly put his foot up near the face of Charlie Daniels, and United sealed the game minutes later.