Question

How do the food and water transportation takes place in non vascular organisms like algae or mosses or liverwort etc.?

Answer 1

The major characteristic that separates non-vascular plants from others in the Kingdom Plantae is their lack of vascular tissue. Vascular tissue consists of vessels called xylem and phloem. Xylem vessels transport water and minerals throughout the plant, while phloem vessels transport sugar (product of photosynthesis) and other nutrients throughout the plant. The lack of features, such as a multi-layered epidermis or bark, means that non-vascular plants don't grow very tall and typically remain low to the ground. As such, they don't need a vascular system to transport water and nutrients. Metabolites and other nutrients are transfered between and within cells by osmosis, diffusion, and cytoplasmic streaming. Cytoplasmic streaming is the movement of cytoplasm within cells for the transport of nutrients, organelles, and other cellular materials.

So your answer is osmosis, diffusion, and cytoplasmic streaming. Just remember the first two(osmosis and diffusion).