If your NCC (National Cadet Corps) certificate has already been verified and you have received a No Objection Certificate (NOC) for the first round of TS EAMCET, you typically do not need to obtain a new NOC for the second round of counselling, unless:

1. Change in Status: Have there been any changes in your eligibility status or any additional requirements specified for the second round?

2. Institution or Authorities Request: The counselling authorities or the institution specifically request a new NOC or updated documents for the second round.

3. Document Validity: The validity period of the NOC or any other document has expired.

To be sure, you should:

- Check with the Counseling Authorities: Contact the TS EAMCET counselling authorities or visit their official website for any specific instructions regarding the documents needed for the second round.

- Verify with the Institution: Confirm with the institution where you are seeking admission if they require any additional documents or updated certificates for the second round.

Ensuring you meet all the requirements for the second round will help in a smooth counselling process.