My storage shelves are also very deep. They are probably for the garage. I would first see if you have material that goes together (i.e., kit, matching fabric line, bought for a specific project, etc.). These I put in the $1 shoe boxes from Walmart. Next step would be to fold your Fat Quarters or 1/2 yards and put them in "under bed storage" clear bins by color. Next put your batting and/or large pieces of backing fabric in the back of the shelves. Then fold or put on some kind of board any fabric that is 1 to 4 yards and put them at the front of the shelves.
These you could put on the bottom of the shelf unit
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Also on the bottom as these get heavy
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Fabric on boards with batting and/or large pieces behind
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