McTominay was cautioned by referee Mike Dean for a foul on Daniel Podence in the first half before Shaw followed suit when also bringing the Wolves forward down as he made his way down the right flank.
It was costly for the pair as they are now suspended for our next outing in the division, against Aston Villa on 15 January, with the encounter in the Midlands kicking off at 17:30 GMT.
However, Scott and Luke will still be available for the Emirates FA Cup third-round tie against Steven Gerrard's Villans, at Old Trafford on Monday 10 January.