I have recently got a 8 week old pup and my other dog who is 12 months old seems to be making himself be sick by her so she can eat it???

This has happened twice in the last few hours!

Do you think this is a coincidence???

A bitch will some times regurgitate her food for her pups, but I'm not sure about a dog.  If it was a bitch doing this, I would suggest keeping them apart for a couple of hours after feeding.

More likely to be coincidence, maybe the upset of the pup coming into your home

Believe that in the wild both sexes will regurgitate food for the young and not even just their own young, the pup licks round the adults muzzle and the adult will feed the pup. Trouble is your dog is not an adult and you had better keep them apart for about an hour and hope that will cure the problem.