Dwarves not storing mugs in bins?

Solution 1:

Looks like you are out of free (empty) bins. Check your furniture stockpile or 'Stocks' from z-menu. Each bin can store up to 5 bars or blocks, while 30 or more small crafts may fit into a single bin.

Or maybe your population are too busy. Like transporting large number of items from former stockpiles to another place.