Explanation on the different names: I have too many ways to answer with all my personalities so here's a key.
• Nica - emo lazy chile
• Aoi - happy go lucky
• Sage - angry b*tch
• Axel - chill older sister (like a Jiro)

I feel that if Bakugo wanted to flirt with me, it would come out like:

Bakugo: so you fell down from heaven too?
Sage: eh?? Heaven??? *morally offended bc I'm the freaking devil*
Bakugo: even God doesn't want you around, huh?
Sage: *kicks him in the groin* EVEN IF I DON'T WANT HIM AROUND EITHER, THAT'S MEAN! YA COULDA AT LEAST PHRASED IT DIFFERENTLY, DUMBFUCK! AND I GUESS THAT PUTS US BOTH IN THE SAME BOAT!
Bakugo: *falls down trying not to tear up at the pain* THAT WAS THE POINT, YOU FUCKING IDIOT!
Sage: ...oh-

Bakugo: so you fell down from heaven too?
Aoi: *raises eyebrow in wtf is this* I-
Bakugo: even God doesn't want you around, huh?
Aoi: *flails arms and accidently hits him hard in the head* Hey! That's MEAN! I'm hurt, why don't you want me here?!
Bakugo holding his head: BAKA, STOP FOCUSING ON THE WRONG PART!
Aoi: ...........*after standing there for 2 minutes* *realization* ...you're terrible at this

Bakugo: so you fell down from heaven too?
Nica: I guess??
Bakugo: even God doesn't want you around, huh?
Nica: ...ouch but valid, 1. And 2, ya messed up real bad with that added line. Sorry, bro
Bakugo: WHAT WAS THAT?!
Nica: ...Im saying you're terrible at flirting but great with sarcasm.
Bakugo: I WOULDN'T EVEN NEED TO FLIRT IN THE FIRST PLACE IF YOU WEREN'T WRITING THIS!
Nica: *shrugs* *with the blankest face ever* it's what I like about you
Bakugo: eh!? *totally did not just feel special for a split second*

Bakugo: so you fell down from heaven too?
Axel: ...who put you up to-
Bakugo: even God doesn't want you around, huh?
Axel: ...that seems to be his decision. Idgaf, you fell from there too
Bakugo: ...that was the unspoken point-
Axel: *smiles* I can read you like a book even if you're doing something so out of the ordinary~
Bakugo: ...fuck off, little brat
Axel: *still smiling* off of what?
Bakugo: ...Aoi's better at this.
Axel: ooh~ so you like it when Aoi says similar shit~
Bakugo: I DO NOT, SHE'S AN ANNOYANCE! DON'T EVEN TRY TO BE LIKE HER!
Axel: *yawns* clearly, she's too much for you
Bakugo: WHO SAID THAT?!

And yeah lol