What do cockroaches and moths eat that is the same?

Well, what do cockroaches eat? Cockroaches are usually omnivores, except the wood-eating genus Cryptocercus. They feed mostly on dead or immobile things. Cockroaches prefer food sources such as sweets, cheese, meat products, starches and grease. They also feed on plants, vegetables and fruits. They eat almost any type of food, including household items such as leather, beer, glue, flakes of dried skin, starch in book bindings or decaying organic matter of animals or plants. Cockroaches also eat kitchen crumbs, paper, human dander, shelf paper backing and much more. - Buzzle.com