The devotees of Orissa are called Uḍiyās, the devotees of Bengal are called Gauḍīyas, and the devotees of southern India are known as Drāviḍa devotees. As there are five provinces in Āryāvarta, so Dākṣiṇātya, southern India, is also divided into five provinces, which are called Pañca-draviḍa. The four Vaiṣṇava ācāryas who are the great authorities of the four Vaiṣṇava disciplic successions, as well as Śrīpāda Śaṅkarācārya of the Māyāvāda school, appeared in the Pañca-draviḍa provinces. Among the four Vaiṣṇava ācāryas, who are all accepted by the Gauḍīya Vaiṣṇavas, Śrī Rāmānuja Ācārya appeared in the southern part of Andhra Pradesh at Mahābhūtapurī, Śrī Madhva Ācārya appeared at Pājakam (near Vimānagiri) in the district of Mangalore, Śrī Viṣṇusvāmī appeared at Pāṇḍya, and Śrī Nimbārka appeared at Muṅgera-patana in the extreme south.
Śrī Caitanya Mahāprabhu accepted the chain of disciplic succession from Madhva Ācārya, but the Vaiṣṇavas in His line do not accept the tattva-vādīs, who also claim to belong to the Mādhva-sampradāya. To distinguish themselves clearly from the tattva-vādī branch of Madhva’s descendants, the Vaiṣṇavas of Bengal prefer to call themselves Gauḍīya Vaiṣṇavas. Śrī Madhva Ācārya is also known as Śrī Gauḍa-pūrṇānanda, and therefore the name Mādhva-Gauḍīya-sampradāya is quite suitable for the disciplic succession of the Gauḍīya Vaiṣṇavas.
Ref >> Srila Prabhupada Vani.