Before having our baby, my husband wasn't a good husband - no sense of responsiblity and only knows how to enjoy himself.
Since the birth of our child, I tried to give him some responsiblities (by asking help little by little). The most important is when he has done what you asked, you should show him your thanks and praise him. Men are like little children, their behavior depends on your reaction as well.
Now, our child is 1.5 years' old and he has made big progress!
You have well done your part, you may lead him to make well his part little by little with recognitions!!
Couple life isn't easy but with love, we can conquer all! Good Luck!