As far as Ves was concerned, no one won the battle against the Frosty Meteors.
The Meteors lost ten heavy mechs and around a hundred other mechs. Such losses only amounted to five percent of the Venidse mech regiment's total strength, so they haven't suffered very much at all. Certainly, replacing the expensive mechs and highly-trained mech pilots lost in the battle was going to be a pain, but their abundant funding easily allowed them to recoup their losses.
The Flagrant Vandals on the other hand might have won the battle, but they also lost the war. They outright lost over a hundred spaceborn mechs and many more required urgent servicing before they could be put back onto the field.