The two main categories of plants recognised on the basis of whether they produce fruits or not are:

1. Biennials and annuals
2. Angiosperms and gymnosperms
3. Herbs and shrubs
4. Bryophyta and pteridophyta

Angiosperms and gymnosperms

Reason — Angiosperm are flowering plants that produce fruits while gymnosperms produce only seeds without producing fruits. Biennials and annuals classify plants based on their life cycle. Herbs and shrubs classify plants based on their size and structure. Bryophyta and pteridophyta classify plants based on their level of organization and reproduction.