I planted cabbage this year. Never did before. Something is eating at them, and I see a lot of white moths hanging around. Any suggestions?
Those white moths are laying eggs on your cabbage and the worms from the eggs are eating your cabbage.
There are a couple ways to get rid of the cabbage worms. The hardest is to go out ever day and pick up the leaves and squash any you see, I do this when looking at my garden each day. I also spray with BT, an organic pesticide that works great. Finally there are powders you can use, but then you can not pick them for a period of time, dont use them myself so cant tell you a lot about them.
The easiest way to prevent them laying eggs on your cabbage is using floating row covers .
Once they have laid their eggs you can either hand search for the eggs and remove them by hand and the little green caterpillars that hatch out or you can spray them with BT (bacillus thuringiensis)
You are seeing the Cabbage Butterfly and which has laid his eggs on your Cabbage and the resulting Cabbage worm is eating the foliage. If something is eating the roots that is probably the Cabbage Root Maggot. Next planting cover the plants with a floating row cover (Remay).