From my experience the "livery" file should be in with the components of the texture file, in the texture folder you wish to add to your 130 setup.
I have no experience with FSX, not owning it, but in FS9 ran into this issue time and time again with textures that were described as "self-installing," using the CS C130 ACES installer, by some of the designers. For some reason the "livery" or, in the case of FS9, "texture" config files just weren't read by the installer, despite being properly named and it would reject them. I'm curious about what the answer will be.