Hello Yaswanth ,

TS Eamcet or any exams it have use only when counseling process and it does not improve your rank or score .

State level or National level  sports recognized certificates  generally useful for long time ( if they don't mention any date to date).  it helps to get admission in good college under sports quota and in future to get job(may be jobs in sports quota seats) you can show your certificates and get the job .

I think this answer will help you lot

All the best !!!!