Prof. Sudhir Varma was the head of the faculty of percussion at Bhatkande College of Music, Lucknow and was the student of Ustad Ahmedjan Thirakwa for 15 years. He has written a book “The Art of Tabla Playing”. It contains information about the general basics of tabla, however also contains a number of compositions given in different taals.
I am sharing a PDF copy of the book here for those interested:
Prof. Varma is the person seen sharing memories of Ustad Ahmedjan Thirakwa in the YouTube video provided in my previous post: The 3 Types of Tabla players according to Utd Ahmedjan Thirakwa.