If your board don't mentions the caste, for any of its students of class 12, then it won't create any problem. But if your board by error don't provided the caste to your 12th marksheet then it may cause a problem but this problems don't matters the most. So don't worry, if you have valid caste certificate, then you have nothing to worry about that. If you have you name & your parents name right in your marksheet, then you will not have to face any problem.

For more information regarding FMGE you can follow:

https://medicine.careers360.com/articles/fmge

I hope this helps. Have a great eve!