Jose Mourinho's side headed to the Amex Stadium on Sunday buoyed by a narrow victory over Leicester on the opening weekend.
They never looked like building on that success, with an error-strewn display seeing them suffer a 3-2 defeat on the south coast – with Pogba’s late penalty adding some respectability to the scoreline.
A marked improvement is now being demanded, with United’s stand-in captain hoping to see the pain of a setback against the Seagulls spark a positive response against Tottenham next Monday.
Pogba told MUTV: "We always play for the shirt and the fans, this is not the result we or they wanted.
"They should be very mad. We should be mad. Everybody is mad. We are mad.
"The next game we want to change this. We want to be happy at the end of the game, with smiles on their faces and give the fans a nice weekend afterwards.
"We definitely don't want to lose two games in a row, so we're going to have to get ready and play much, much better than [on Sunday]."We're not here just to play games and be in the Premier League, we are here to win, we are Manchester United, and that's what we do.
"We want to win trophies, that's the mentality and the culture of the club. We didn't do it and we are very disappointed.
"There's lots of games still and we have to stay positive, and by staying positive is how we will fight for a good result against Tottenham."
Pogba has questioned United’s attitude and preparation against Brighton, with there no excuse for such a disjointed showing having produced similar during a 1-0 defeat to the same opposition back in May.
"That's two times in a row we have lost against them here," added the World Cup winner.
"I think that shouldn't happen. Last year we had almost maybe the same attitude [as Sunday], and it's not right.
"Myself first, should have done much better, less mistakes, control more the game.
"This was a bad performance for all of us. It's wrong we dropped points.
"You have to wake up for the next game and definitely not play like we did [against Brighton]."