The club captain has scored seven goals in nine games since the turn of the year, but manager Louis van Gaal has chosen to leave out the 30-year-old for the game in Denmark.
Other notable absentees include Matteo Darmian, who dislocated his shoulder against Sunderland last weekend, and Cameron Borthwick-Jackson, who has established himself in the United backline in the coming weeks.
In their place, Van Gaal has selected first-team rookies Regan Poole, Joe Riley and James Weir, while Will Keane will hope to earn some more involvement with the senior setup after making a late appearance off the bench at the Stadium of Light on Saturday.
United dropped into the Europa League after only finishing in third place in a Champions League group involving Wolfsburg, PSV Eindhoven and Spartak Moscow.
However, with the club having dropped off the pace in the race for a top-four spot in the Premier League, participation in the Europa League provides them with an opportunity to secure a spot among European football's elite sides next season, providing that they can progress through four knockout ties and emerge victorious in the final in Basel on May 18.
Manchester United squad: De Gea, Romero, Love, McNair, Smalling, Blind, Poole, Riley, Carrick, Herrera, Schneiderlin, Lingard, Pereira, Weir, Mata, Memphis, Martial, Keane