Sage Vyasa divided Vedas in to four Rig , Yajur, Sama, Atharvana Veda. Sage Vyasa taught Rig Veda to Sage Paila . Sage Paila   made Rig Veda in to two parts and passed on one part to Sage Baskala. Sage Baskala passed on his part to  his son Sage Baskali . Sage Baskali  put together Valakhilya Samhita a collection of parts of RigVeda and passed on Valayani , Bhajya , and Kasara . That is where name Kasara appeared in the Bhagavatam literature. Now the details…  !!

Kasarabada is a family name – and we come across Kasaragode/Kasaragodu – People mistake Kasarabada to Kasaragode in some parts !  “bada” or godu is a familiar ending for a place,  so in kasarabada  “kasara' is the name part that needed to be looked into (our conclusion !).

A bit of accidental research reveals the following:

This comes out of a discourse between the Great Sages Suta and Saunaka, in the context of knowledge and Vedas .

Great Suta says  as follows … “ In the beginning there were three sounds forming the “Aum”. From this “Aumkara or Omkara , Lord Brahma created all sounds of alphabets , the vowels, consonants, semi-owels , sibilants distinguished by such features as Long and Short measures.

Brahma made use of this collection of sounds and through his four faces . The  Vedas , which  appear together with “omkara “ and seven ‘vyahrutiaks' , include the invocations of seven planetary systems  bhuh , bhuvah , svah, mahah, janah, tapah,  satya .

Brahma taught the Vedas which are in a collective form to his sons, who were great sages among Brahmans and experts in the art of Vedic recitation. In this way it passed from generation to generation through a strict Vedic discipline. As the time was passed on ,   observing that the  people in general were diminished in their life span, strength , and intelligence  by the influence of time , the great sages systematically divided Vedas into sub parts . At the  end of each Dvaparayuga the Vedas were edited into separate divisions by eminent sages.

In this present age of Vaivasvata Manu ( ref Vaivasvata  manvantare pradhama paade  Jambudvipe bharatakhande … etc)  Lords Siva  and  Brahma approached the Supreme God to  protect the Vedas. Almighty Lord exhibiting a divine spark of a portion of his eternal being , appeared in the womb of Satyavati , the wife of Parasara  , as the son  “Krishna Dvaipayana Vyasa “

Vyasa  divided the one compilation of Veda  with its divisions into four Vedas . Srila Vyasadeva separated the mantras of Rig, Atharva, Yajur, and Sama Vedas into four divisions. He composed these into four distinct Vedic literature;

There upon  he called four of his disciples  entrusted each one of them with one of these samhitas. Srila Vyasadeva taught the first Samhita the Rig veda to Sage Paila . The collection of Yajur mantras   also known as Nigada to Vaisampaayana . The collection of Samaveda mantras designated as Chandoga Samhita to Jaimini . The collection of Atharva Veda to  his disciple Sumantu .

Sage Paila divided his part of Rig Veda Samhita into two divisions and passed it on to Indrapramiti  & Baskala . Baskala divided his collection into four parts and instructed his disciples Bodhya, Yajnavalka , Parasara and Agnimitra.

Baskali- son of Baskala , (one of the two disciples of Sage  Paila who received the part of Rigveda Samhita ) assembled “Valakhilya samhita" , a collection from all branches of Rig Veda . This collection was received by Valayani , Bhajya , and Kasara. That is the first appearance of name “ Kasara ” in any literature

That is , to put it simply …   sage “Kasara” received the one part of the two parts  of Rig Veda made by Sage Paila and given to Baskala , and then  given  to Baskali  who made the  collection “Valakhilya Samhita"  a collection from all branches of Rig Veda  and  Bhaskali gave it to Kasara among others ; others being Valayani and Bhajya.

Thus Kasarabada family name is derived from the name of a great sage Kasara. Probably he lived in the village which took his name Kasara and made it Kasarabada or Kasaragodu .

All it means is that the name Kasarabada is generated by people who had great respect for Sage Kasara.

(ref : Vysa Maha Bhagavatam  Skanda 12 chapter 6 -  slokas 36 to 61)