Mourinho's research included two small errors: Rashford played the equivalent of 34.1 90-minute matches in 2016-17 for an average of 63.8 full games - and it overlooked how the player has had a longer wait between starts since Alexis Sanchez's arrival from Arsenal in January.
Pogba is set to start against Watford at Vicarage Road on Saturday evening as United look to dent the host's flawless start to the season.
Under Mourinho, however, Rashford's playing time has come into question with some believing the Portuguese is failing in developing the youngster which gained more traction as he scored twice in two games for England over the global break.
Marcus Rashford got the chance to play all 180 minutes of England's two recent internationals in the worldwide break, against Spain and Switzerland, after Raheem Sterling dropped out through injury.
Mourinho said he wanted to set the record straight even if "obsessed" people, who had "a problem with some compulsive lies", would criticise him anyway.
For United, he was taken off after 60 and 45 minutes in their first two EPL matches against Leicester City (won 2-1) and Brighton (lost 3-2). He's not Ruben Loftus-Cheek.
"The only situation we have to analyse is if you are going to play him when during the week he was not training with the team".
The relationship between manager and his high-profile midfielder has been one of the many testing issues Mourinho has faced this season and dates back to before Pogba scoring in the World Cup final in July.
"If I was still in that dressing room giving personal advice it would be, "Paul, it's obvious you want to play somewhere else but be professional", Neville said.
"The most important thing of all is that the kid is a good kid, a good player, knows what Manchester United did for him, starting in the academy, then Mr [Louis] van Gaal's support, then my support and the club's support, new contract, new shirt, being selected for every single match".
In his Friday press conference, Mourinho joked that he he would be "criticised for not playing Rashford" at Vicarage Road despite the fact that the forward was obviously ineligible.
Lukaku hit a brace as United bounced back to winning ways at Burnley before the worldwide break, but Mourinho's men are six points off the top of the Premier League table following defeats to Tottenham and Brighton and Hove Albion.