Everton were finally rewarded for their endeavour after 76 minutes when Pogba lost the ball to Sigurdsson and the Icelandic global sent away Richarlison who was clumsily felled by Chris Smalling for the second penalty of the game.
It was his fourth goal in his last three Premier League games and Mourinho said afterwards the 22-year-old is finally starting to get the most out of his undoubted talent.
Pogba at least netted the rebound after a stunning save from Jordan Pickford appeared to have punished him for a weird, stuttering run-up that featured 26 steps.
"The reason is he is playing lots of matches and lately, not just not scoring goals, but also not showing lots of confidence and sometimes we decide that the best thing for the players is to not be on the pitch, to be protected and away from the initial pressure.", said Mourinho in his pre-match presser.
Without the dropped Romelu Lukaku, United played one of its best matches of a turbulent season and beat Everton 2-1 at Old Trafford.
Martial started the game as bright as ever, beating his marker time and again as he set up Juan Mata for a free header before winning the penalty that put United 1-0 up.
United thought they had a second on the half-hour mark, with Marcus Rashford pouncing from a save by Pickford, but was offside and the goal was ruled out.
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"He is still very young and he is having more minutes". Sigurdsson pulls one back for the visitors as he sends De Gea the wrong way from the spot. Replays suggest Gueye got a touch on the ball.
Those pleas were ignored and Pogba put a finger to his lip after slotting home at the second attempt after Pickford impressively denied the penalty that came at the end of a long, stuttered run-up.
His combination with Martial on the left is a real plus point for the Red Devils going forward, but Pogba's love for the dramatic remains a negative on his game.
Ademola Lookman prepared to come on around the hour mark, coming on to replace Bernard in the 62nd minute.
Rashford started in place of Lukaku but wasn't great in the game and replaced in the second half.
The Man United fans haven't had too much to shout about of late under Jose Mourinho but they took to social media to express their delight at the way the team played in the first half, without their star striker.