You poor thing Modest
I read your post earlier, but wasn't sure how helpful I could be. I left this window open in case no one else replied.
In my opinion, a 1 month old should be able to go 2 hours, but I'm no expert.
Is it possible that he's spending short bursts breastfeeding and so only getting foremilk and not hindmilk? Foremilk is thirst-quenching, hindmilk is filling.
It could also be he's feeding for comfort / because he associates your smell with that.
I think I would be at my wits end in your position, so I am full of admiration with how calm you're sounding.
So, as I've said, I'm no expert, but here's what (I think) I would do in your position.
(All this is assuming that the bottle your husband gives him is formula and you're ok with formula.)
The issue with breastfeeding is that you don't know how much they've had. So when you say "He seems satisfied and falls asleep at the breast after approx 20 mins but if I try to put him down he wakes up hungry again" he may not be hungry. To reassure myself, I would be giving him a formula bottle in the morning - that way I know he's had sufficient. If he then cries only 20 minutes later it must be something else. This would also give you some milk to express (I'm fairly sure you don't have to have to dump, it even if the thrush isn't cleared up, but do check). This also has the added advantage that he will stop solely associating your smell with breastfeeding (and possibly comfort feeding).
It's so easy to stick a nipple into a crying mouth, but it's not a good habit. I would be resisting the temptation as long as possible through bouncing, swinging, dummies, etc. Some friends of mine had a crying LO all evening. The only way to keep her quiet was to bounce on a fitness ball. They now have magnificent core muscles.....
I would also be using an app to time between feeds and go for little wins - every 5 min extra between feeding is a win
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Have you checked his latch with your HV and have you considered possible tounge tie?
Make sure your LO is also treated for thrush, otherwise he will pass it back to you....
Hope that's helpful. Sorry I can't give you anything more definite.