You specifically said animals
Plants would still need color to achieve the most efficient photosynthesis possible from what little light arrived from other sources. Even if you're rogue between galaxies, the sky is never completely black. So, plants have reason for color even if there's nothing around to see them.
Blind animals, on the other hand, would have none. Color would certainly exist, but only as a byproduct of the chemistry of their skin/hair/fur/etc. It wouldn't otherwise matter.
But there deserves to be a frame challenge
How many of your animals would actually be blind? The number of species on Earth that are totally blind is quite small. Granted, they are all deep-sea or cave-dwelling species where what we call visible light is in short supply, but remember... your night sky is not totally black (unlike a cave or the depths of the sea).
But that's only light visible to humans.
I can easily believe that on a rogue planet experiencing eternal night the development of both ultraviolet and infrared spectral vision is completely believable. Add to this that tri-color vision is pretty much unique to Earth's primate species... including humans (the rest see in duo-color, functionally black-and-white) and it's totally believable that your animals would see just fine.
Another way to look at this is that animals don't necessarily see color (see below). They do see contrast (Human periphreal vision is this way). From this perspective, it's only important that a caterpillar be the same color green of a leaf for those species of birds that see green-and-white (greenscale, and I don't actually know if any bird sees in a "greenscale"), but perhaps it's more important that the caterpillar be the same luminosity of the leaf in question so that it blends in via the grayscale we assume most animals enjoy.
But, let's consider a bit more science...
But, what color does the animal see? Vision, like all of our senses, is processed in the brain. Without being able to get into the head of an animal, it is only possible to know what colors can be detected and not how they "look" to the animal. (source)
In your case, critters avoiding infrared-seeing predators would evolve body heat similar to the thermal conditions of their preferred surroundings. Their skin would have absorption characteristics that allowed the edges of their bodies to blend into their background. We don't think of that as color because we don't see that color spectrum. But evolution would accomodate a predator whose brain can process infrared (or ultraviolet) frequencies systematically.
So, I believe you would have sighted creatures and they would enjoy the color of their world, which would IMO evolve in spectrums that we humans don't see and can't appreciate.
One last note, according to this article, some terrestrial critters have 6 photoreceptors and one butterfly has 15! More types of photoreceptors means the ability to see finer shades of color. Given this data, your moon may evolve critters with very high numbers of different photoreceptors to take advantage of what little light exists. They wouldn't see color the way we do at all and they would likely be completely blind in the strength of our sunlight, but they'd see a world of brilliant — if dim — color.