
I'm feeling too lazy right now to go and pull the exact dialogue, but Doman religion is based on Shinto practices. Orobo talks about how their religion differs from Eorzean in that their multitude of gods live around them in aspects of nature.
As for the Au Ra, I think it's a bit more murky. They have the Dawn Father and Dusk Mother as their central figures, we know that much for certain. Because of how close the Domans and Raen seem to be, I RP under the assumption that (some) Raen villages have religions that contain aspects of the Shinto-like practices alongside their worship of the parental deities, while others may only focus on the parental deities. Xaela.... there's just so much diversity in their ranks that beyond acknowledgement of the parental deities there could really be anything else mixed in. From the description of some of the tribes, I wouldn't be surprised in there wasn't some mixing of things like shamanism, ancestral worship, and the like.
As for the Au Ra, I think it's a bit more murky. They have the Dawn Father and Dusk Mother as their central figures, we know that much for certain. Because of how close the Domans and Raen seem to be, I RP under the assumption that (some) Raen villages have religions that contain aspects of the Shinto-like practices alongside their worship of the parental deities, while others may only focus on the parental deities. Xaela.... there's just so much diversity in their ranks that beyond acknowledgement of the parental deities there could really be anything else mixed in. From the description of some of the tribes, I wouldn't be surprised in there wasn't some mixing of things like shamanism, ancestral worship, and the like.