Heyo people. There I will leave a topic for discussions. And will add my own suggestions as well.

Actually I wanted make this char myself, I already have some sprites with stance and 1 attack, but... I guess I'm not only one, who can see potential in the game's crossover system. May be I could do that faster, but really had no idea that someone can have same thoughts as me, so I just did nothing and thought that I will always have time... Turned out I was wrong. Nothing unusual tho, I just was too naive to not understand it, bruh.

So the first thing I have wanted to know is will you do the other characters from CTL? If yes, may be I could help, like real help, with sprites, coding etc. (I actually discovered the modding just about 2-3 weeks ago, but I have enough time to study and do the work, at least if nothing unusual happens). I swear that I will not make the same mistake again. If not, then I'll do it myself, or if you not want me to help u with making then I can help you with the char's moveset and give the ideas, so the work will go faster that way.

No matter what you answer to my offer upper, I'll still leave few suggestions about Bat here.
First, and almost the most important part is his combo hits. The thing is, he's very fast himself and have very low frames on almost every hit, except bats (even they are fast af). It's not bad, in fact it's cannonically accurate for him, but he became too strong because of that. I think you should rebalance his movement and let him do quicker dashes instead of teleporting (it's optional tho, the movement system's not that bad), and make his combo hits and kicks after bat hit have at least 3 starting frames, because if he starts doing them you have literally NO other options, but to parry them practically no matter the advantage. And even if you do that, he still have little upper hand in frames, and if that's not really big issue by itself, the huge problem is that he still have ability to do another combo (if you used punches, you can use kicks and vise versa), so you will just continue to block constantly. And no, you can't roll through it, because if you do, you will have HUGE disadvantage as his punches takes very little time to launch & end, and there he already can turn around and launch your rolly ass in air with bat or punch u. That's the main prob I think you should have attention at.
The second is I think you should add a backhand hit, as it was a really good move in CTL, and a great starter just as forward bat swing. I still remember every BlueBox bot mf making insane combos starting from this unevadable sh*t.
Third one is his "attack 22", the one that follows after forward bat hit "attack 7", as it should be good damage dealing move and combo extender on ground.
And the last one is his this homing aerial cr*p from "attack 19" and "attack 20". Idk if you planning on adding it by yourself, but I thought about that few times, and came to a conclusion that it will be either broken or useless move. The reason is if it hits you in air, it should not push you away, because you have only two aerial options (which is not really good for him, since the CTL chars had about a half or more of their combos in air, but I got that it was made in sake of balance), and you must've spend the air option to got to flying enemy. But if it'll have very small or no knockback at all, then it will be just as broken as combo punches/kicks, so yeah..
And I will not talk about the laser beam, since I think that you should decide yourself about adding it or not (maybe you planning to do that in high super).