Why this is disputed. The myth itself leaves this unresolved: ancient sources disagree on whether Agdistis is a being distinct from the Mother goddess or simply an early Phrygian name for Cybele herself, prior to the Greek reception of her cult. Where Agdistis is read as distinct, the castration myth explains why the Mothers priests, the Galli, practice ritual self castration; where the two are read as one, the myth becomes an origin story Cybele tells about her own cult rather than a story about a separate deity.
Source Cybele and Attis: The Myth and the CultMaarten J. Vermaseren
Attis, Deities Attis is the companion of Cybele and his mourning is the centre of her Graeco-Roman cult.
Source Cybele and Attis: The Myth and the CultMaarten J. Vermaseren
This source names Cybele directly: "study of the myth and cult of Cybele and Attis, the Anatolian mother goddess and her consort whose worship spread across the Roman world."
Source Cybele and Attis: The Myth and the CultMaarten J. Vermaseren
The galli were the servants of Cybele and are known only in her cult.
Source In Search of God the Mother: The Cult of Anatolian CybeleLynn E. Roller
This source names Cybele directly: "of the Gods, the Phrygian goddess Cybele and her reception into Greek and Roman religion as the Magna Mater."
Source Great Mother of the Gods (Encyclopaedia Britannica)The Editors of Encyclopaedia Britannica
This source names Cybele directly: "California Press, traces the cult of Cybele, the Anatolian mother goddess, from her Phrygian origins through her adoption into Greek and Roman religion, combining archaeological, art historical and..."
Source In Search of God the Mother: The Cult of Anatolian CybeleLynn E. Roller
This source names Cybele directly: "to 5th centuries, and its composition, Cybele riding a lion-drawn quadriga beside her consort Attis and three Corybantes, surrounded by a cosmic scene of Aion within a zodiac ring, the Sun and Moon..."
Source Parabiago Plate (Wikipedia)
This source names Cybele directly: "Dall'Orto in 2003, captioned "The gods Cybele and Adonis from the Parabiago patera (dating from 361/363 AD)", independently confirming the museum and the identification of the plate's enthroned..."
Source Parabiago Plate, File Record (Wikimedia Commons, Archaeological Museum of Milan)
His account of the Attis myth also names Cybele directly and is one of the fuller surviving Greek descriptions of the pairing.
Source Description of Greece (Periegesis Hellados)Pausanias
Companion Phrygian cult; Sabazios and Cybele are frequently linked in both Anatolian origin and later Roman practice.
The black stone of Cybele was fetched from Pessinus in 204 BCE on a Sibylline oracle that a foreign enemy could be driven from Italy if the Idaean Mother came to Rome.
Source In Search of God the Mother: The Cult of Anatolian CybeleLynn E. Roller
The goddess whose arrival the oracle promised would drive Hannibal from Italy; this record makes the promise a comparable, cited fact in its own right rather than leaving it as prose on her own page.
Source Ab Urbe Condita (The History of Rome), Books 21 to 30Livy (Titus Livius)