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Uniquely in Greek religion, she had a transgender or eunuch mendicant priesthood. Many of her Greek cults included rites to a divine Phrygian castrate shepherd-consort Attis, who was probably a Greek invention. In Greece, Cybele is associated with mountains, town and city walls, fertile nature, and wild animals, especially lions.
In Rome, Cybele was known as Magna Mater ("Great Mother"). The Roman State adopted and developed a particular form of her cult after the Sibylline oracle recommended her conscription as a key religious component in Rome's second war against Carthage.
Due to Imperial Rome's adoption of Hellenistic culture and assimilation of Greek religious practices, it is highly unlikely that Augustus would have ordered the destruction of the Cybeline priesthood simply because they cross-dressed. In point of fact, he is known to have shown remarkable restraint towards foreign religions as long as they didn't stir up insurrection, and there is no historical account that he interfered with the worship of Cybele anywhere within the Empire.