Hello Shamik,
For management quota in Deemed universities, the counselling process will be conducted by the Medical Counselling Committee (MCC). However, for state private colleges MBBS management quota seats, candidates have to apply under the respective state conducting authority, so in your case , you will have to attend the TN state counselling. Now if you are aiming for any particular college , you should contact them directly to know more.Visit the below article to see the eligibility criteria.
https://medicine.careers360.com/articles/mbbs-admission-through-management-quota
You may use the college predictor too to know your options :
https://medicine.careers360.com/neet-college-predictor? icn=QnA&ici=qna_answer
All the best
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