Unlike his countryman, Pogba started slowly but grew into the game and was fully into his stride by the time he tucked in United's penalty for the opener.
Interestingly, the big striker has failed to score in his last eight matches for the Red Devils and has been hugely by the supporters and football pundits as well.
United were somewhat lucky to get the penalty to begin with.
"We are playing OK", Mourinho said.
The Spaniard did a good job at the start of the game, but his passing and movement were off in the last 20 minutes or so.
The trio of pundits reflected on the encounter, with their topics of conversation including Paul Pogba, the key penalty decision and Martial's current form.
But, after Bernard had rounded David de Gea but somehow placed the ball into the side-netting three minutes later, Everton finally claimed a deserved goal after Chris Smalling brought down Richarlison.
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Everton manager Marco Silva lamented the flashpoint as a turning point in the game and believes his side did not deserve to walk away empty-handed.
The Republic of Ireland global will need to be on top of his game defensively and blocking him out could be a great way to send out a message to Silva. I always shoot like this this is and that's how I take penalties. Coleman and Gana Gueye dealt well with a right wing raid by Martial before Walcott pressured Lindelof into a mistake to find Sigurdsson whose cross for Bernard was just a tad too strong.
Martial is yet to commit his future to United. He simply has to score but somehow fails to beat the Everton stopper, who makes a super one-on-one save from close in.
Everton nearly found an immediate response three minutes later, but Bernard, having rounded De Gea, inexplicably missed the target with the goal gaping. Young was slightly fortunate not to see yellow for a challenge that felled Lucas Digne on 35 minutes.
A fine run by Gomes saw him feed Coleman and then get on the end of the cross, but as with earlier headers, his effort had neither enough power or direction to overly trouble De Gea. Everton, who drop to ninth, host Brighton.
Lukaku had a number of chances to make the right run or pass but failed nearly every time.
At the other end of the pitch Marcus Rashford proved just as ineffectual up front as Romelu Lukaku, who was benched for the visit of his former club and took his United drought to nine games after coming on as a substitute.