dregs, sediment, grounds
糟 centers on the leftover solid bits that settle out of a liquid or processed grain: dregs, sediment, or grounds. It is the waste or residue left behind after the useful part is removed.
to be scolded (mainly used theatrically)
roan (type of horse colour (color))
soup made with sake lees
sake lees
chaff and bran; plain food
one's devoted wife; wife who has followed one through hard times; wife married in poverty
vinegar made from sake lees
Japanese angel shark (Squatina japonica)
糟 combines 米 (rice) with 曹, which likely contributes the sound and may relate to the idea of leftover material from grain processing.
Rice 米 is processed, and the right side 曹 looks like a container with a lid. Picture the leftover dregs and sediment collecting at the bottom of a rice-wine vat.
For コウ, imagine a cook pouring off the clear liquid and leaving the dregs behind: cook -> コウ, and the cook discards the sediment.