Post Graduate Diploma in Management

You can go for PGT but you have to complete B.Ed first.

Eligibility Criteria for PGDM
Students must have a bachelor's degree from a recognized university in any discipline.
A bachelor's degree is necessary, with a minimum of 45 percent marks.
Candidates must pass an entrance exam as well as a personal interview, as well as meet the requirements of the institute.

You can check out these colleges:
MIT School of Distance Education and
Indian Institute of Materials Management.

https://www.shiksha.com/college/indira-school-of-business-studies-isbs-tathawade-pune-32570/cutoff
You can go through on above link to checkout cutoff information.

I have visited and know about the state of management development in India. I have myself been through quite a few management institutes and can say with authority that there are a handful of good institutes that can help one to achieve an overall view of management. Institutes like CIMP (Chandragupt Institute of Management) is top notch in quality. These institutes are reputed globally. Then, there are others that are not bad by any measure. They can also be a good option if one is looking for a PG Diploma in management. Kindly visit following profile - https://www.shiksha.com/college/chandragupt-institute-of-management-patna-23763.

With minimum of 50 percentile in CAT 2021.

XIME Kochi PGDM elligibility-
Bachelor Degree in any discipline with a minimum aggregate of 50 marks (45 percent for SC/ST candidates). Candidates in final year are also eligible to apply
Duration 2 years
Specializations Finance, Marketing, HR, IT & Analytics, Operations, General Management
Admission Criteria valid CAT,XAT,GMAT,CMAT,MAT,KMAT and ATMA scores+GD+PI
Intake - 120
Cutt off - for most of the entrance exam is 60+
Best wishes

You can search through upgrade they have many courses. I think it helps you alot.

No, you can't apply for UGC NET exam with a PGDM. You should be having a master's degree (Post graduation degree) in Management or other relevant field with minimum of 55% aggregate marks secured to be eligible for UGC NET exam.