The management seats are filled by the institute itself and you have to go to the respective institute for getting through the management quota seats. But before going to the management quota seats you must try to go therough the state counselling rounds for the admissions on the medical or dental colleges as there may be chnaces of getting the good govt. institute through the reservation. Refer the link below to know about the cutoff marks for the tamilnadu state quota seats.

https://medicine.careers360.com/articles/aiims-mbbs-cut-off