The 25-year-old World Cup victor tried to force through a transfer to Barcelona days before the window closed but United chiefs were unwilling to sell their prized asset.
According to multiple reports, Mourinho told his players at training on Tuesday that he will not let Pogba captain the side again due to the World Cup winner's poor attitude.
The United manager has been angered by Pogba's post-match comments and his performance in the 1-1 draw against Wolverhampton Wanderers.
This was the competition that gave Mourinho his first trophy as United manager in 2017, but he has failed to make progress since that opening season and was forced to admit for a second game in succession that his side were beaten by opponents showing greater desire.
But while reiterating United's ability to compete for the best players in the transfer market - the club have forecast revenues of between £615m and £630m for 2018/19 - Woodward underlined the importance of a clear pathway to the first team for academy talents.
The Carabao Cup, also known as the League Cup or EFL Cup, begins this week for some of the Premier League's top teams. We know that position is one that requires continued effort and investment to maintain.
Sources close to the club were not surprised by the latest development, which will only increase speculation as to whether Pogba will stay at Old Trafford.
I'm not the manager, I can not, like, say that but ... obviously we should show more option of playing but I can not say that because I'm a player.