What Is A Type Of Moss?

What Is A Type Of Moss? Moss can be categorized into two groups; pleurocarpous and acrocarpous. Though there are several differences between the two groups, the main one is that pleurocarpous moss has a spreading carpet-like growth habit, while acrocarpous grows upright. What are the three types of moss? Cushion Moss. Scientific name: Leucobryum glaucum.