Sanchez was at the centre of much of United's play in the second half, seeing an effort denied by a last-ditch Tommy Smith block inside the box, before United got the opener their second-half intensity deserved.
Pogba was introduced from the bench for Lingard in the 65th minute and United's second goal soon followed.
United go into the game 16 points behind league leaders Manchester City, with the Citizens having drawn 1-1 with Burnley in Saturday's early kick-off.
"We are frustrated in terms of the result but the performance was outstanding", said City manager Pep Guardiola. The club remain in the FA Cup and the Champions League.
"We were aware that this is a hard task in front of us, we wanted to be solid defensively and find a good formation where we frustrated them, and I think it worked".
The Red Devils lost in their previous Premier League fixture against Tottenham Hotspurs on Wednesday.
Jose Mourinho has confirmed Marouane Fellaini has had surgery after sustaining a knee injury but does not believe the midfielder will miss the rest of the season.
"Paul came on very well, with a great attitude, with spaces we had a the time, we were winning 1-0 and Paul could show talent, his qualities". 'This is something that is part of my life, or part of my football culture before I become Manchester United manager, ' United manager José Mourinho said, sporting a Munich badge, on Friday at his pre-match press conference.
Tottenham's win puts them just two points behind fourth placed Chelsea and third placed Liverpool, with a crucial trip to Anfield looming on Sunday.
Whilst Rashford's form merits him being dropped, Alexis' domination of the left wing position will surely concern both players and supporters will certainly keep an eye on whether this will continue to happen.
"Christian is such an important player for us". Every player has a chance to improve until the end of his career, especially the ones below 26, 27.