It’s just your basic, bog-standard silencing tactic, and it’s working - you’re silenced, right?
He wants you to be quiet (I’m sure he’s thinking more along the lines of ‘STFU’), stop whining, and get on with it.
Is that how you want to live?
You could try to talk to him, not off the back of an argument, but at at time when you’re both relaxed - but something tells me he’ll just go straight into his usual MO anyway.
This isn’t about you wanting him to do your job.
This is about you wanting him to co-parent during the hours when you’re BOTH on duty.
You could equally fire back - ‘fine, I’ll only do my job from 9-5 (or whatever hours he does), and down tools just like you, and the kids can parent themselves after that time. Does that suit you?’
Ask him who he thinks is responsible for parenting his children?
Is it only you?
If so, why?
He knows he’s in the wrong, so he comes out swinging to shut you up.
You’ll see I’ve positioned how to respond to him as a series of questions. Don’t be silenced. Put him in the hot seat, and get him to explain himself, and why he thinks opting out of parenting and family life is actually in any way acceptable.
Just a reminder: his behaviour is not normal, or OK. I don’t know any men like this in my social circle. Believe me, I know there are men like this out there. And there’s a reason none are in my acquaintance. They’re arse-wipes, so who’d want to spend time with them?