No employer will sponsor you given your current situation. I'm 99.9999 percent sure of that. Mind you there are a million and 1 Indian graduates already in Australia with PRs and working at 7-11. Why would they choose you?

Actually I recall that the recognized graduate visa only applies to Engineering students. I don't make the rules lol. If they recognize only those 2 unis, what to do? I think famous kuda in this forum Meruchan tried to apply for onshore PR, she was a graduate of QUT with a Masters of Accounting, but end up had to go back because no work and she didn't want to be a waiter for the rest of her life.

Kesian her. She seemed pretty well settled here.

My suggestion is that you aim for;
1) SkillSelect PR invitation
2) Be in the skilled workforce for 5 years for the extra 10 points.
3) Aim for an IELTS Score of 8

If you start now, you'll get your PR visa in about 6 years.

If you want the faster way well, you'll need about 60k AUD.