is it possible to apply for state management quota.

or only NRI or what we have eligible

Mr. Jeeva, for your daughter to be eligible under state quota,

1. She should have studied her 10th, 12th from the state that she wants to claim state quota from. 

2. She should possess a valid domicile in the state

3. She should possess a residencey proof of the state.

Now that your daughter has studied her 10th and 12th abroad, that disqualifies her from being eligible for State Quota.

Hope this helps.