According to Wikipedia mosses and lichens are quite different.
Mosses are small flowerless plants that typically grow in dense green clumps or mats, often in damp or shady locations. The individual plants are usually composed of simple, one-cell thick leaves, attached to a stem that may be branched or unbranched and has only a limited role in conducting water and nutrients.Moss
A lichen is a composite organism that arises from algae or cyanobacteria (or both) living among filaments of a fungus in a symbiotic relationship. The combined life form has properties that are very different from the properties of its component organisms.Lichen
Aperture ƒ/8 Camera NIKON D5100 Caption A patch of moss with some lichen. Captured 23 April, 2016 Copyright © Khürt L. Williams Focal length 35mm ISO 800 Shutter speed 1/160s
Unlike most plants, mosses do not have seeds, are non-vascular, and absorb water and nutrients mainly through their leaves, harvesting carbon dioxide and sunlight to create food by photosynthesis (like plants).
Aperture ƒ/8 Camera NIKON D5100 Caption A patch of moss showing both gametophytes (the low, leaf-like forms) and sporophytes (the tall, stalk-like forms) Captured 23 April, 2016 Copyright © Khürt L. Williams Focal length 35mm ISO 800 Shutter speed 1/60s