The moon affects wildlife because of its three profound influences on Earth. Time, light, and tide. For many animals, (mainly birds) the moon is essential for migration and navigation. Also, lions hunt the best during the darkest nights of the lunar month. Wildebeests and other prey of lions learn to avoid going out during dark nights to stay safe. Animals learn different things with the moon, whether it be safety, when to reproduce, or when to migrate.
I’m not sure if this is what you’re looking for, but these are some key points you could use in your story if you build around it. Good luck!
