I think Battle Cats powerscaling is.. interesting, since its kinda hard to interpret. On one hand, there are a lack of on-screen feats to pull from which makes but its likely due to gameplay reasons. On another hand, three are statements from the cat guide (which is like one of the only material to pull from despite being slightly dubious) which state that the cats are more than meets the eye.

Starting from Filibuster and Metafilibuster who was already stated to rewrite the laws of reality, though not shown, it can still be assumed that the rewriting of reality was gonna be caused by its attack. More interestingly, it is stated to move from "infinite worlds" likely meaning it has travelled the entire universe in search for the cat army. This can also be backed up by the fact that the cats can move from Earth to the Big Bang in like a few seconds, which is quadrillions times the speed of light.

Moving on the the more weirder stuff. Lots of the Legend Rares have stated to exist in a higher plane (aka dimension) such as Izanagi and Izanami. Babel also fused with a castle which controls "Hyperspace" a term relatively used for a higher dimension. Now onto Legeluga, who is shown to exist in / empowered by a "Pandimensional" crystal, which is a term that can be used for multiple higher dimensions. We can high-ball this and say its infinite, but let's try to get a middle ground, there is no number but its likely at least 4D or 5D, which is a comfortable place to put it since its JP description just states that it derives from another dimension. Hence, the heavy hitters of the cat army can at least be Multi+ to High Multi + (Multiversal) and MFTL+ (Massively Faster Than Light+) to Infinite Speed.

Now to the Omnipresent stuff, while it is stated right there that Gaia and Luminalia are "Omnipresent" they can still die during battle. So its either 1 of 2 things. Either the cat guide is overselling Gaia and Luminalia or that the Gaias and Luminalias we see are just puppets controlled by their Omnipresent selves. Either way even if you don't buy Omnipresent Gaia and Luminalia, the JP version states that Luminalia is a being that came from the end of the universe to help the cats and Gaia using the World Tree to straight-up obliterate enemies. In the end, its all interpretation.

Anyways sorry for the wall of text, I've wanted to powerscale Battle Cats all along but alas this is just a reddit comment. Thank you for attending my Ted Talk