My two cents on the HG MU, 7-3 (feel free to disagree, probably more like 6-4 I'm pretty fucking free to Doomsday). Venom beats out Mace Charge every time (unless there's something I missed when I played seriously) and any kind of tracking move like Supernova fucks with flight. She really doesn't have anything to fuck his trait up (new Mace Charge might help? Haven't played much with it) and she doesn't get many invincibility frames on any wake-up move nor has any armored moves beyond B3\F3, so it's tough getting out of the corner when you get trapped. Argue with me if you disagree, I'm not pretending to be the HG master
Mace charge is a great tool, but like any tool you have to know when to use it and not get predictable against people who can deal with your tools effectively. She doesn't need to fly in this match up all the time and to be honest it shouldn't be her main focus for several reasons: Doomsday in general has slower normals than she does, similar damage and generally similar character designs in the sense that they both chip away at your life and are obnoxious bruisers, a competent/developed rushdown game, footsies and spacing are crucial in order to hang with Doomsday.
Her wake ups are fine, but why not just just block earthshaker in the corner and then do down 1, wing evade 3 if you're worried about them getting stuffed? It gets her out of the corner and a considerable distance away from Doomsday. That's just one option/possibility. Keep in mind if someone's looking to blow up your wake ups, they're not looking for if you decide to do something else entirely. It's important to mix up what you do after getting knocked down.
Down 1, wing evade 3 and things like that mess with his trait effectively.
Down 2 can blow up body splash pretty easily since it's a 9 frame anti-air with a superb hitbox.
Damage wise they're relatively even midscreen and most of their damage is usually acquired via chipping away at their opponent over time with their strong specials.
It's a solid 5-5 in my opinion.
Ravens don't generally give me a hard time, but Hawkgirl? I remember shortly after I started playing Doomsday that I came across one of the top ranked Hawkgirl players in a ranked match. I didn't know what the hell hit me. I was like, "...wtf?" So, she naturally became one of my most hated MUs early on.
Well, I've come across the aforementioned Hawkgirl player a few times here recently and have won each of them. Easily? Not really. I had to put my work in for the win.
So, I would say it's definitely a 5-5 in my opinion if the Hawkgirl player knows what they're doing. If not? Flowchart DD will likely take it.
It's one of my favorite match ups and it's pretty fair overall, shame I never run into many good Doomsday players to actually run it, but I agree with 5-5.