On Martial's absence, he said: "Anthony Martial has the baby and after the baby is born - attractive baby, full of health, thank God - he should be here and he is not here".
Although worldwide players like Paul Pogba, Romelu Lukaku and David De Gea will be available for their first game against Leicester on August 10, they will not have played a game for three weeks and may well not have trained properly either.
Mourinho felt his side gained little from the encounter with Liverpool, lamenting the lack of senior names in his squad, and said he is hoping some players still recovering after the World Cup decide to return to the group sooner.
"I would like to have two more players", said Mourinho.
The lack of players available for Manchester United's pre-season tour of the USA may be driving Jose Mourinho round the bend, but even he managed to crack a smile as he welcomed TV personality James Corden to their training camp.
"They would like to have here Golden Ball victor Luka [Modric], but it is what it is and it's hard for every club with lots of players in national team".
Mourinho's list of transfer targets is understood to relate to central defence, an area in which he is particularly keen to strengthen.
"Alexis is the only attacking player we have".
"We have four or five players that are 'dead" because they care for the club.
"We are just trying to play these matches the best we can, and I think the boys did very well until the gasoline went".
The 55-year-old is targeting a wide forward and a centre-back, with Internazionale's Ivan Perisic and Leicester City's Harry Maguire among his targets.
'I wouldn't spend my money to see these teams, ' he said.
Mourinho is still without a number of players, who reached the latter stages in Russian Federation, and made clear his preference that they cut their breaks early to aid preparations for the season opener against Leicester on August 10.