They are categorized as: 1-Flowering 2-Non -flowering
Plants are more difficult to put into groups for many people possibly as they are so completely unlike us. Even a fly has a head, eyes and legs that we can identify with to some degree, but where do you start with a plant?
Add to this that the great majority of plants that we encounter belong to the same group and that the others are relatively uncommon with the differences being not so obvious unless you start looking much more carefully and it's easy to see why most people's idea of plant groups are flowers/not-flowers or even edible/non-edible
Botanists (plant biologists) seem to like changing their minds about what groups plants belong to even more than zoologists (animal biologists) do about animals. The following is somewhat simplified though a reasonably up to date and accurate description of the major plant groups. I have tried to arrange it for clarity, when the group names change it's not just a name change for the sake of it, though it may seem like that. Also, some plants move into and out of existing groups to confuse matters. We don't need to consider those things for this brief overview, though you may encounter the results of all this renaming and moving around when you look at various reference sources. The flowering plants group that used to be the Angiosperms for instance are now the Magnoliophyta.
Most importantly for the categorization of plants is that oxygenic photosynthesis (photosynthesis that produces oxygen) only evolved once in the history of this planet meaning that all plants have a common ancestor and very similar if not identical details of how they photosynthesize no matter how different they may appear or how they go about their lives.
Vascular plants - these are plants that have transport tissues that carry water, dissolved minerals and the products of photosynthesis around the plant.