"You'll be history" just means if he does not get help for his addiction and work to overcome it and be a good partner for you, you won't stay, you'll be in his past/gone from the relationship as he is not putting enough into it for you to want to stay.

I would not put up with his behavior in my life. If he is working on changing it, that is one thing but if he is just apologizing, as gayleggg says, that is not enough.