Lukaku has not scored for his club since September 15 and manager Jose Mourinho has taken the decision to leave him out of the team to face his former club.
It was a role reversal for United's second as Martial gloriously curled a Pogba pass into the bottom-right corner within four minutes of the restart.
Gylfi Sigurdsson's late penalty wasn't enough to earn the Blues a point after a costly miss by Bernard as United got back to winning ways courtesy of a dodgy penalty won by Martial and converted at the second attempt by Pogba, and a stunning curlier from Martial.
Everton carved out another good chance when Lookman found Richarlison and he played Coleman into space for a rising shot that cleared the crossbar when he really should have made De Gea work.
The youngsters have already experienced a taste of Manchester United folklore, having appeared alongside the club's former forward Zlatan Ibrahimovic on a U.S. talk show hosted by Ellen Degeneres. But a lack of first team appearances under boss Jose Mourinho may mean he could look elsewhere.
"Nobody should be surprised by how he is playing with his talent", Pogba said of Martial.
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"We don't have the killer instinct that I would like".
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.
"I like the player that say, 'I want to take it.' But Paul, can he improve? I was unfortunate. You have to go a tad early because he has so much power but unfortunately it just bounced back out".
"But for us in this moment it is is nearly impossible to keep a clean sheet even with the phenomenal goalkeeper we have".
Martial doubled United's lead with a curling effort after 48 minutes - his fourth goal in his last three Premier League games. Even if he doesn't score, to create what he is creating, it is a solid performance for the team.
"We came here to try to do everything to try to win the match, not come here to see and just to block them".