Martial has yet to respond to his manager's comments, while Manchester United were unable to confirm that the player had been given permission to attend the birth.
He has cut an unhappy figure throughout United's two-week trip to the USA, finding fault with an array of issues since arriving in California earlier this month.
Though he was impressed by the fans, Mourinho didn't have quite the same feelings towards the American officials.
Mourinho is finding fault with everything but accepting responsibility for none of it, and it is beginning to wear thin. We still played simple and quick, kept them moving.
Sadio Mane had given Liverpool the lead with a penalty just before the half-hour mark before Andreas Pereira equalised with a stunning free kick minutes later.
Mourinho, who has also voiced his frustration at Manchester United's lack of transfer activity this summer, now sees his side wrap up their International Champions Cup matches against Real Madrid on Tuesday evening.
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Explaining that he would ideally like two new players before the close of the window, Mourinho said that he only believed it was possible to bring in one more player.
United described Smalling's unspecified problem as "minor" and his withdrawal "precautionary" but it is another blow for Mourinho who had been banking on starting the season with a defence of Antonio Valencia, Luke Shaw, Smalling and Bailly. These are reinforcements, this is not our team, not our squad.
"The majority of the players that played are not going to play - some of them are not even going to belong to the squad". This is not our squad. "That is another thing, but this is not even 30 percent of my squad, so don't look to this that way". "Those were important moments in his career and now we have him and he can now play together with a few really nice football players". "I wouldn't come. I wouldn't spend my money to see these teams", Mourinho said. "I don't think anything goes to change with that". "They arrive here, and it was soccer, and they had to be in a soccer game". This Liverpool defeat will do little to boost confidence, especially with European champions Real next up in Miami.
Manchester United midfielder Nemanja Matic will miss the start of the Premier League campaign. He doesn't hold much hope that he will get what he wants.
"I would like to have two more players", the United manager said.
" I found out that Martial was going to Paris when he told me".
"I couldn't pick one team because I know City will be chased and harried, more than they were previous year, if that's possible".
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