The Corps, for those who don't know:
Guy Gardener (temporarily)
Von Daggle: Durlan highly experienced GL, known for using his shapeshifting to do dirty tactics. He will, say, turn into a small organism and attack someone from the inside.
R'amey Holl: The butterfly-like lantern there, relatively rookie though not a mook even before her change. Thanks to exposure to the same hyper-evolving comet that gave Captain Comet his powers, she's now semi an energy being (still hurtable physically) with very sharp and dangerous wings, teleportation/creation of wormholes (which she can use to do stuff like put someone half through, then turn it off to cut them in half), and minor telepathy.
The main question on who wins is the Annihilators lineup- the addition of weaker people like Wolvie and Capt mean more Alphas, meaning the Lanterns win.
If it's just the core Annihilators, though, then the lanterns might have a bit more power, but the Annihilators have better teamwork (not the Alpha's strong suit) and the edge in some of the individual matches, and they probably win in a very close fight.