The £72million summer signing struck twice on a breakout night for him in a Manchester United shirt.
But it all proved in vain as Galatasaray struck three times to condemn Erik ten Hag’s side to a sixth defeat from 10 games.
‘At the moment we are not doing good enough,’ Hojlund told MUTV in a damning verdict.
‘We need to remember we can’t give goals right after we score. We’ve had a few games now where they just score after we score.
‘We need to go back and analyse that tomorrow and talk about it in the group. It’s a tough period now but we need to stick together and that’s the only way we can get out of this.’
After defeat to Crystal Palace at the weekend condemned United to their worst start ever to a Premier League season, Ten Hag and his players desperately sought some respite.
They thought they had that when Hojlund headed in the opener, teed up by Marcus Rashford, in the first half.
He would add his second in front of the Stretford End with a brilliant breakaway finish, something he hopes will become a ‘signature’ of his for United fans to enjoy for years to come.
‘I’ve been brought to score goals and I’m happy I got two more,’ he said.
‘But again, if we talk about Marcus (Rashford), as he said in an interview we try to talk to each other and he knew that I’m going to be there now.
‘He knows I can keep up with his pace and we saw a glimpse of that today.’
On the second goal, he added: ‘It was a good feeling.
‘I got cheated a bit before with the offside but it was an incredible goal. I like to call that a signature Rasmus goal, on the left side, running a lot. It was nice.’
United now face two games against Hojlund’s former club FC Copenhagen knowing they must win both to have any hopes of qualifying out of Group A.
Hojlund will come up against his brothers in the double header and while there will be plenty of emotion in the Hojlund household for those clashes, winning is the only option for Rasmus and United.
‘We need to get some points now if we want to play Champions League after the group stage,’ he concluded.
‘I’m looking forward to playing against them because it’s a former club, my brothers are playing there and I have a big heart for Copenhagen. Now I play for Manchester United and we need to get some points out of it.’