"My daughters cook."
Translation:Le mie figlie cucinano.
It would not be correct, unless they are broiling themselves in the sun on the beach. While both verbs essentially translate as "to cook", the refer to different things. cucinare is what a cook does---the activity of cooking something. cuocere is what happens to the stuff the cook works with.
For example, when I cook an egg, the egg cooks. One is what I do with the egg, the other is what happens to the egg.