Lovely photos!
OP, you're doing a great job. It's so hard at the start. I remember being in tears at every feed at about 6 weeks as one twin wouldn't latch, or would fall asleep after a mini feed.
I think having someone around, even if for just a couple of days, would really help. If someone was with me, I'd get them to change nappies if one/both babies fell asleep during a feed. It usually woke them enough to finish the feed and then I had them both fed at vaguely the same time (at least not an hour apart!). That's really hard to do on your own as you need to either stop the baby that's feeding fine, or wait til they've finished.
Do you want to go your mum's? Maybe you could suggest to your OH you need to go to your mum's to get a few days of help to get them synch'd for feeds/sleeps? I know loads of people that stayed with their mum after having 1baby, I don't think it's unreasonable with 2!!
Does your OH do his share at weekends? If he's not working, could you let him take over completely for a few hours at least, give you a break and let him see how hard it is? I don't mean this in any way to be antagonistic towards him, but I found until someone really saw what it was like, they didn't understand how much I needed help/a break. He might realise that going to your mum's would help.
Also agree with comments above re silent reflux. One of mine had it, the other had sicky reflux. Keeping them up (bouncy chairs or tilted Moses basket) after feeds, tilted cot at night, and ranitidine helped. Took ages to get ranitidine prescribed for throne with silent reflux though, I think some GPs don't think it exists.
Hope your chat goes ok. Easier said than done when sleep deprived, But try to stay calm and just be clear about what you need (more sleep and some help!).