Phrygian religion, so far as it can be recovered, is dominated by one figure. Matar, the Mother, appears in the rock-cut monuments of the Phrygian highlands standing in a niche, flanked by lions, and her name in inscriptions carries epithets rather than a genealogy. There is no assembly around her, no consort of equal standing in the early material, and no succession narrative.
That singularity may be genuine or it may be an artefact of what survives, and it is worth holding both possibilities open. A few other divine names appear in the Phrygian inscriptions, and Sabazios, a god later well known in the Greek and Roman world, is associated with the region.
What the tradition is chiefly known for is what happened to it elsewhere. The Mother travelled, becoming Kybele to the Greeks and the Magna Mater at Rome, where her cult was formally imported during the war with Hannibal and given a temple on the Palatine. With her travelled the story of Attis, her consort, and the self-castration of her priests, which fascinated and unsettled Roman writers and which is reported almost entirely by them rather than by Phrygians.
Of Phrygian cosmogony nothing survives. The atlas records that as unknown rather than debated, because there is no position for anyone to hold, and states in the Open Questions panel what kind of find would change it.