When I was a teen I met a Young Friend, who told me,
I'll 'discuss' anything with anyone. :-) But if it turns into an 'argument' I'll say, "You're right!", and walk away.
IMO it's not your job to control his behaviour, to evoke adult behaviour from him.
So far as I know, this ("walk away") may be good advice for "defusing or preventing" all forms of abuse in a relationship -- i.e. also violence, alcoholism, etc.
There may also be something odd or unhealthy about the relationship, or his view of it, that encourages or permits or reduces him to behave that way -- but I think it's impossible to say what that is given (based on) only your (one-sided) description of the relationship. So another possibility might be "therapy" or "couples' counselling", a.k.a. "marital counselling".
Based on this comment, perhaps too there's some emotional or relationship skill that he didn't learn from/with his parents -- unfortunately I don't know how to supply a lack like that ... except to model (i.e. demonstrate) appropriate adult behaviour yourself (loving behaviour, if it's that kind of relationship), and see whether he responds accordingly, and if not then "govern yourself accordingly".
At the risk of being off-topic, see this topic (about choosing a partner): including this answer and this comment (i.e. that a partner is not a child).
Since you ask it may be that he feels he's not getting enough affection from you (or as you said, "attention"). Meanwhile you're calling him lazy and childish, and complaining about the housework.
I guess this relationship isn't really going well for (doing good for) either of you.
Maybe you ought to split up, or get more in-depth relationship advice than can be managed on a Q+A site like this.
I also think that:
- During a relationship breakdown, both parties (rightly or wrongly) blame the other, have their own grievances.
It would be unskilful for me to "take your side" (or to take his) in the argument, to blame him based on what you said -- e.g. to confirm your view ("yes you're right: he's lazy and childish") -- although even more wrong to deny what you said
Assuming you're right (i.e. that your description is accurate), even so I'd expect that the behaviour you describe may be situational rather than inherent -- i.e. that it's a reaction to, a result of, this relationship -- not the behaviour which he produces in every relationship (I guess it's not how he behaves at work, for example). But I can't diagnose the relationship dynamic at this distance, based only on what you said (and, you imply, neither can you).
"Sulking" is a symptom or example of a communication breakdown
- A couples' counsellor might, if you both consent, try to facilitate two-way communication -- not by taking sides especially ("yes he's lazy") but by "setting boundaries" -- or as a nerd might put it, by defining a "communications protocol", such as, "wait for your turn, you have to listen to her while she's talking", or, perhaps techniques like "I-messages" and so on ... but, I don't know, I think there are many schools (techniques, philosophies) of relationship counselling
- If you can't agree on how to relate with each other, if you're unable to do that, then what might be better is a divorce lawyer or equivalent -- who again might (ideally) not take sides as to the cause of of the relationship's ending, but instead try to facilitate a no-fault divorce
Also I'm probably sounding kind of clinical but if I would diagnose something it's that there's maybe a lack of gentleness or affection, one-way or both ways -- not that you should have to (be required to) feel affectionate but, I don't know, you and/or he might want to in a relationship with your partner.
Even that (i.e. "affection") may vary somewhat though, e.g. Buddhism might recommend the Brahma-vihara attitudes as the right way to relate to people, rather than craving and attachment and aversion -- answers should be based on (my) personal experience but it's really hard to presume I know what you each give to, each expect from, this relationship -- hence, you know, I think you'd have to communicate with him about that.