But Henrikh Mkhitaryan has been included and could make his return from injury.
Shaw and Rooney played in Saturday's 1-1 draw with Bournemouth but both failed to impress.
Zlatan Ibrahimovic v Tyrone Mings: Should both players have been sent off?
Mon, March 6, 2017
Zlatan Ibrahimovic and Tyrone Mings have both been charged with alleged violent conduct by the FA for this incident during Manchester United's 1-1 draw with Bournemouth
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How long will Tyrone Mings and Zlatan Ibrahimovic be banned for?
Their non-inclusion is likely to create further doubts over their Old Trafford futures.
Zlatan Ibrahimovic is included following his controversial display against the Cherries over the weekend.
United's top scorer has until 6pm tonight to respond to a violent conduct charge from the Football Association.
Luke Shaw and Wayne Rooney have been left in Manchester
Eric Bailly has also not travelled as he serves a suspension for a red card in the last round against Saint-Etienne.
While Bastian Schweinsteiger remains at home as he continues his recovery from a minor knock.
SQUAD IN FULL
De Gea, Romero, O'Hara; Valencia, Jones, Rojo, Smalling, Blind, Darmian, Young; Carrick, Herrera, Fellaini, Pogba, Mata, Lingard, Mkhitaryan; Martial, Rashford, Ibrahimovic.