Some advice needed for my mom

Like said i my mother needs some advice,however she doesn't speak english so i will.
3 months ago she got 2 meyers from a coworker who turned out to be severely allergic off them.
He already had them for a while in a separate room.
But they didn't get any real attention,so when he heard my mother kept birds he asked her to take them,so they would.
The problem that she can't get them back in their cage,they won't go back for food and rather stave them self.
She doesn't have the time to really train them since she got 6 other parrots.
Last night we had to catch them with a towel since was already 3 am in the morning.
They hadn't eaten for over 6 hours,no matter what we put into the cage,it was a festival for food in their cage.

Does anyone have a idea how?my mother is getting desperate with them.

That does seem very strange. Have they been checked by a vet to make sure they don't have any physical issues?

Once that's addressed, I guess I'd want to know if they are getting food elsewhere, like stealing from the other birds, hence they don't want to go back in the cage. Otherwise, it might be the cage itself -- after being locked up for so long, they are actually afraid of it. Do you have a different cage you could try, or maybe just redecorate the cage trying to make it more comfortable? Maybe they hate the perches or are afraid of a toy?

they have been checked,she declared them healthy.
They do sometimes steal from the other birds ,but my mom has been making sure lately that it can't happen.
As for the cage ,this is their second already,the first was just too small as it was for quarantine.
But when they are inside the cage they play the whole day with everything that's in it,so i can't see how it is the cage,especially since they will sleep on it.

I think I would start looking for whatever their favourite thing is - some fruit, some seeds, a "special treat", a favourite foot toy, a favourite material, etc. Once you can find something that the birds go bonkers over, you can try using it to lure them into their cage. I had to bird sit for my friends, and was told they would never go back into their cage without using thick gloves. After 3 days of sitting and countless times of letting them in and out of their cage, I never sustained a bite, had to wear the gloves, or had them fly away. They were far too preoccupied with eating the sunflower seeds in my hand as I moved them slowly towards their cage door, moved them towards a perch, and slowly closed the cage door while softly talking. It worked every time for them, thankfully, and their cage doors were quite small, so I'm thankful I never had a fight or a bite.

Are the birds hand-tame and accustomed to being handled? If so, you could try what I did with their favourite food/item. If not, perhaps target training would be the way to go. Birds take to it quickly and learn from it quickly. Whenever they go into their cage to target, then they get an ultra reward to let them know going in is a good thing too. I find if it's the bird's choice to go in, then it's very easy to get them in there.

They aren't tame,and haven'r been handheld before we go them.
I tried that trick too,it fooled them once,after that never again.
They only come on our hands when we have snacks and they know they won't be put in the cage.