Are you warming the milk? Moving from breast to bottle is a good option, you can also try when they are sleepy, or try giving the bottle skin to skin, or go the other way and put baby in a bouncy chair or on your knees facing you. You can also consider a soft sippy cup from when they are 4 months as an alternative to bottles. For your partner they can do things like wear your dressing gown or cut a hole in an old T shirt for the teat to poke through. Wear or sleep with T shirt so it smells of you. Often partners have better success than the breastfeeding parent but as in your situation that is not always the case.
Your baby's suck reflex will have become more voluntary between around 2 and 4 months which is why babies are less accommodating of bottles when introduced / brought back in later.
Let me know how you go or if would like me to expand on anything.
When introducing a bottle, be that with formula or expressed I would suggest doing it around 6 weeks so it doesn't interfere with breastfeeding and your supply. It is fine that you gave it earlier though. You then need to keep with regular bottles every other day or so in order for you to keep reminding them that the the bottle is OK too. It doesn't have to be a full feed though. You are obviously past that so there are a number of things you can try, unfortunately every baby is different so I can't say 'do this and that will fix the problem' but things to consider. Is your let down very strong? If so then a faster flow teat may be more similar to your let down. I prefer a graduated teat such as the lanisoh natural wave so if you are going to try a different bottle maybe lok at that. Is your baby dribbling or gagging, I expect not as I think you would have mentioned, but if so then slow the feed down more. I always reccomend paced feeding with a bottle. Do you know what that is or shall I expand?