His father, Balawantrao aka Bikambhat, was a half-brother of Deenanath Mangeshkar and the temple priest and a Kirtankar (performer of Kirtana, a devotional music style).

Abhisheki was also well known for his renditions of his Marathi Natya Sangeet compositions like "Guntatá Hrdáya Hai", "He Suránno Chandra Vhá" and other songs/Marathi ghazals such as "Májhe Jívana Gáne", "Kaivalyáchya", "Sarvátmaka sarveshvara", "Kátá rute kunálá" etc.

Around this time, he received a scholarship from the Indian Government for advanced training in Hindustani classical music under Azmat Hussain Khan.

After receiving a Homi Bhabha fellowship in the late sixties, he taught at a music school run in the USA by sitarist Ravi Shankar.

[8] Besides son Shounak Abhisheki, Abhisheki's well-known musical disciples include Asha Khadilkar, Devaki Pandit, Shubha Mudgal, Mahesh Kale, Mohankumar Darekar, Hemant Pendse, Ajit Kadkade, Raja Kale, Prabhakar Karekar, Vijay Koparkar, Sameer Dublay, Dr. Hrishikesh Majumdar and Dr Mrs Madhuri Joshi.