Doesn't LO Latios kind of shit all over you?
Lanturn is a free switch since it can't do anything to it and then it Draco Meteor/ Surfs the Genesect switch in. Genesect eventually dies from SR (you are Naive as well so more damage) then it kills the rest of your with Psyshock and Surf. It can switch into Landorus as well for the most part and Keldeo given a good prediction.
Hard to change the rest of your team but I'd scarf one of your ponies as a last ditch effort to try to damage it/ revenge kill it and stall it out of LO.
Rain counter Latias is a similar issue since it will be running Psyshock to kill Keldeo and Surf most likely as well, except it's even harder to kill.