Mine doesn’t always burp from breast feeding from the boob and that’s totally fine! Breast milk from the bottle he usually will but if baby is asleep like that I wouldn’t. You do usually want them at an angle to eat a bottle though so idk about having him laying down for a bottle feed.
I always try to burp when feeding baby from a bottle, even when she does fall asleep just to prevent any possible tummy issues and discomfort. especially if your baby “clicks” while drinking from the bottle because that means they break their latch and are intaking air (not saying yours is but just in case). if they’re tired enough they’ll sleep through it and burp in their sleep and be just fine. i, personally, don’t recommend bottle feeding while laying down. i have done it once before, but think of it like you laying flat and someone is making you drink something with zero control over the intake. that can be very uncomfortable. upright pace feeding is usually the best method. no judgement from me though, just what i’ve experienced as a first time mom. :)
if they’re tired enough they’ll sleep through your partner burping them and burp in their sleep***
You shouldn’t need to burp a baby after 4/6 months old anyway, so he should be absolutely fine
Unless he struggles with burping you don’t have to do it after 4-6 months anyway as they are capable of bringing it up themselves
hmm, I think it's pretty common for babies to fall asleep while drinking, but maybe try to burp him a bit after if you can, just to avoid any tummy troubles later on, ya know? here's what the 'Heal App' says.... "It's great that your partner is helping with nighttime feedings! However, it's generally recommended to burp babies after they feed, even if they fall asleep during the process. This helps release any trapped air and can prevent discomfort or gas. If your baby is consistently falling asleep while drinking from the bottle, it might be helpful to try to keep him slightly upright for a bit after feeding before laying him down. Have you noticed any signs of discomfort or fussiness in your baby after these nighttime feedings?"
I mean unless he’s having pain from gas I would think that’s fine!