Since we're talking cabbages...I hate cabbage worms
You've probably seen these pretty “butterflies since you were a kid....
[link to nwkidsmagazine.com
Guess what it's a moth! You never probably knew that before, but chased them happily thinking otherwise. Well that seemingly benign creature produces eggs that hatch into one of the worst pests: cabbage moth worms. I hate 'em with a passion.
I wish they were edible, because I'd stir fry 'em, I hate them so much. They'll gnaw and gnaw so many kinds of plants, not just cabbage family plants like broccoli. They're quite annoying, and many people pick them off and smash them.
Another solution is to spread Bacillus thuringiensis. It's a bacteria that they get in Nature and it kills them in a day or so, as long as it's not in too much direct sunlight. The bacteria won't harm beneficial insects either. It's commercially known as Dipel.
[link to www.ext.colostate.edu
Sevin works equally well, but of course it's pesticide.
[link to www.gardentech.com
They'll chop your transplants down if you let them. You'll see the moths around maybe and then hastily attempt to check each plant for the eggs and worms.
[link to www.waldeneffect.org
They can also look like this:
[link to en.wikipedia.org
Note the long list of veggies and fruit that they like. Crud.
You can use row covers (sometimes called Cloches) to prevent the moth from laying the eggs so easily.
[link to www.thegardencloche.com