Don't know if I can deal with husbands moodiness and dramatics forever

This is my second marriage. I have 2 kids in their early teens. It's my husband's first and he doesn't have kids. So the whole blended family situation is kind of stressful at first anyway. Unfortunately DH decided to go into ours like a wrecking ball. From day one nothing anyone did was good enough. He was always complaining about the kids and me and the way we did things. He would yell at the kids. He would give all of us the cold shoulder frequently. It was crazy. I finally told him we could leave if that would make it better. He didn't want us to. So we talked and in time he said he realized he hadn't done the right thing and apologized to all of us. So things aren't as bad, but the moodiness and drama are still there. The kids, who really liked DH before, I don't think they'll ever feel the same. I can't blame them really. DH can be funny and silly when he wants. But many many times he comes home and doesn't really talk to anyone. He rarely talks when we eat together. He is always complaining about something (people at work, the kids, something I do or don't do) or saying something negative. Any time I talk about something positive he either doesn't say anything, reacts in a bored way or says something negative. He makes a huge deal out of things. Just for example we had made plans to go out to eat for a special occasion. He was working that day and I thought he was working his usual schedule and we were going out afterwards. Apparently he was working a shorter schedule actually. He said he told me but I guess I didn't hear or forgot. I had gone to take care of some things. So when he got home I wasn't there. Instead of calling or texting me to find out why I wasn't home he waited until I got there. Then he pouted and told me it was too late to go. It was still early evening at that point. I apologized and explained but it didn't matter. He wouldn't go. There have been many other similar situations. He seems to be trying to improve. I'm trying to be patient. But many times I feel like I'm now dealing with 3 kids instead of 2. So tired of it. Any advice?