Progeny means "offspring" or "children." You and your brothers are the progeny of your parents, and your cat's new litter of kittens is her progeny.
Synonyms for progeny include descendants, product, and offspring, so you're also your grandparents' and great-grandparents' progeny. And, if your pet goat has babies every spring, you'll get to raise dozens of her progeny. Plants have progeny too — blow the fluffy seeds of a dandelion in your yard and its progeny can multiply, summer after summer, until your lawn is full of cheerful yellow flowers.