The orders established by Bhagavadh Sri Ramanuja were degrading into dry ritualism and needless sectarian wrangles and disputations internally. Swamy Desika, a sage of great foresight, realized towards the close of his divine life that a new order of Holy Men had to be established, as the only way out of this all enveloping darkness. He advised one of his disciples dearest to him to take to asceticism, and established him as the Swami and named him a Brahma Tantra Swatantra Jeer in the year Bahudhanya (corresponding to 1338) when RamAnuja dayApAtraM GYAnavaIrAgya bhUSHaNAm was consecrated. Swamy Desika himself continued to give directions till 1369, when Swamy Desika attained the Holy Feet of the Lord. Thus started what is now known as Sri Brahma Tantra Swatantra Parakala Matham. 

36 eminent scholars and sages have adorned its Holy Seat. The 36th Jeeyar Swami, the present Pontiff Sri Lakshmi Hayavadana Divya Paduka Sevaka Srimad Abhinava Vageesha Brahma Tantra Swatantra Parakala Maha Desikan Swamy, was coronated in 1992. Sri Lakshmi Hayagriva is the presiding Deity of the Matham, having first been worshipped by Goddess Saraswati Herself, then coming to the Divine hands of Bhagavan Sri Ramanuja, as appreciation of his Sri Bhashyam being the correct commentry to the Brahma Sutras of Vyasa, and after him, to Swamy Desikan through other eminent Acharyas like Pillan, Engal Alvan, Vatsya Varada and Appullar. 

The present Jeeyar Swami looks over the religious, spiritual and administrative aspects of the Mutt. The Holy Jeer was in a good administrative post Himself in a well known organization in his pUrvAshramam and brought about great reforms and improvement within a short period time, by incessant tours, and by inviting philanthropic and well-placed people to visit the Matham and work for its improvement to restore its ancient glory. HH is an eminent Disciple of Srimad Abhinava Ranganatha Brahmatantra Swatantra Parakala Swamy (33rd Pontiff) having mastered all Vishishtadvaitic lore under his guidance. He has mastery over both the Vedantas, and is above all a mantrasiddha mahApurusha.