One way to get better just in general is playing with other players online or locally. Since you have a Steam username I can safely guess you play on PC, so I believe you shouldn’t have too much trouble finding a community which plays Skullgirls online and a chatroom. You can practice combos in the lab forever, but when you apply them against another player you'll be facing other aspects and playing under pressure which might make you cross wires or forget things. Plus people of higher calibre can give advice since they'll see how you play.
Another thing is just learning the basics of the game, just knowing the basics can help you with split-second decisions during combos or maybe switching it up to catch people off guard. It's also very important you can react to hit confirms and push blocks since if someone keeps blocking your normal moves and pushing you away you'll be as effective as water on a duck's back.
Beginner Resources Thread is a good read for the basics.
Afterwards I would learn the Bread n' Butter combos for Fukua, which Flotilla posted above, so you can do them very easily off hit confirms by reaction and almost never drop.