Separate gst number for separate products

"... do we need to have separate GST number for both categories?"

GST registration will be same, only depending upon different products its code may change, but that is to be decided yet.

As per Revised Model GST, Chapter VI-Sec-23(2) of Registration, every person  who is liable to to be registered under schedule V of this act, has to apply for registration "business vertical wise" within the state, but no need for product wise registration.

one PAN one GST