Let me see if I can be of help here.
First, Burra showed you the "definitions" and a couple of example sentences for usage.
If you see a bag of organic fertilizer and it says "contains mycorrhizae" what they are referring to is that the spores or spawn are part of the fertilizer.
They are also letting you know there are many of the spores or many threads of spawn (spawn is also referred to as hyphae),
which are what come as a result of the spores sprouting (becoming active) and growing the organisms that will eventually reach the point where the density is high
enough for fruiting (which is how they reproduce for the purpose of spreading far away from the parent plant).
When you use that bag of fertilizer the spores or spawn will begin to grow, thus turning into mycorrhizal fungi.
The organisms are identified by mycorrhiza (one single cell), mycorrhizae (many cells, of the same species (each cell is one organism ready to reproduce)), or mycorrhizas (many different species).
The action they perform in the soil is mycorrhizal.
Does that help? I can delve deeper if needed.