Very cool, I'll put your grid in the opening post so people can see it. I saw it a few times before, it's very neat.

Added:
— jUgGaLoVaNiA (Vriska/Gamzee)
— Clown_Hunting (Kanaya/Gamzee) (which is actually surprizingly full of redrom oops)
— Techbro2 (Sollux/Equius)
— and just for kicks, Wild_Cherry_Apeshit_Apocalypse (Dave/Terezi/Aradia)
Noticed out in the wild:
— Pollination (Rose/Sollux)
— Olive_Garden (Jade/Nepeta)

(Red Team is now only two short of being a complete graph. Anyone got suggestions for Tavros/Kanaya or Tavros/Terezi?)

((next milestone: Red Team + beta kids))

Also anyone want to explain where Snake_Wine for Roxy/Calliope comes from?

Snake because Calliope's symbol has snakes in it, Wine because Roxy's a drunken floozy. Or so I assume, at least.

Edit: What about Dragonfly for Tavros/Terezi?

I'll endorse "Dragonfly". It's kinda catchy, and more intuitively specific than "Pan Seer" put on the grid by my wife's suggestion. I also have "Fashionabull" for Tavros/Kanaya. Any thoughts on that one?

EDIT: @Tropylium, rika hit it right on the money. Though, have you looked up what snake wine really is? It's messed up!

Oh, so that's what that thing in The World Ends With You was.

E: Are you going to do the Alpha trolls at all?

Dragonfly and Fashionabull are both great.

I support Fashionabull. Good pun is tautologously good.

blue_rose for Rose/Vriska was added.
solkan was changed to fashion_bee and vriskanaya was changed to spidermoth.

Aw man, really? I was kind of fond of "Honey Badger" for SolKan...
EDIT: I also often misread "techbro2" using the 2 as a number rather than an S. I still prefer "Biiceps", but it's never really been up to me.

Honey badger? Okay, I can definitely get the honey part but where would you get the badger part of it from?

But if you want feel free to change it I guess (though honestly I vastly prefer fashion bee)

Scratching Post = Doc Scratch/Nepeta

And I personally like Fashion Bee better.

Honestly, the stereotype that Kanaya could be a nagging motherly type is what lent the name idea. But on reconsideration, NOPE. Not keeping it. Fashion Bee is far and away better, so speaketh the booru.
I'm currently stuck looking for one final name for a full grid of BetaKids + AlterniaTrolls + AlphaKids. And it's Jake/Sollux. I've honestly got nothing.

Honeyguns?
I'll try and think of something better for a couple of minutes.
Yeah, I think that's the best I've got at 3 in the morning.

Bee_Bee_Gun?

edit: or BeeBee_Gun2

Honeyguns ain't bad, but BeeBee_Gun2 is rad.