I would try to talk with him about it. Was he rude to you just because he was tired or does he just speak like that all the time?
Could it be stress related with the new baby? Did you both plan the baby? I'm only asking as I was in your situation a few months ago.
DP & I have been together 9 years and now have a seven month old. At first when she was born he was always there to help up until dd was about 4 months old.
He then went about his day, work then home expecting me to cook tea and look after dd all day/night as he had been at work all day. I stupidly let this go on for a while but one day hit breaking point.
I had been quiet/distant for a few days so he knew something was up. Then he'd asked for the third day in a row and I just screamed at him 'I just want you to spend time with your fucking daughter'. I think that's when it hit him and he's been helping ever since.
I know he loves dd and does enjoy spending time with her as I have seen now over the past few months, but I think he just needed a reality check. He went from his mums getting everything done for him to mines and I still do all the cooking, washing, etc so he just assumed my life was fine and I didn't want his help with dd. HAHA!
But I highly recommend discussing your feelings with him and getting his opinion too to see if there's an issue or it's just laziness.