Which two groups of insects primarily feed on stored woolens, furs, and feathers?

The correct answer highlights the primary insects known for damaging textiles such as stored woolens, furs, and feathers. Clothes moths and carpet beetles are notorious for this behavior due to their larvae, which feed on keratin, a protein found in natural fibers.

Clothes moths target wool, fur, and other animal-based materials where the larvae can consume the keratin protein. The adult moths themselves do not cause damage; it's their larvae that pose a threat to stored textiles.

Carpet beetles have a similar feeding habit; their larvae feed on a variety of organic materials, including wool, fur, and feathers, leading to significant damage to clothing and upholstery.

Other options listed consist of insects that either do not prioritize these materials as food sources or target different substrates. Silverfish and firebrats feed more on starchy materials and paper, while termites and cockroaches focus on wood or organic matter rather than textiles. Flour moths and rice weevils primarily infest grains and stored food products, which is a different category altogether. Thus, the choice of clothes moths and carpet beetles accurately identifies the two groups primarily responsible for damage to stored woolens, furs, and feathers.