egg vs food product

egg and food product both are nouns.

Word	Noun	Adjective	Verb	Adverb
egg	Yes	No	Yes	No
food product	Yes	No	No	No

As nouns, food product is a hypernym of egg; that is, food product is a word with a broader meaning than egg:

Other hypernyms of egg include foodstuff.

egg (noun)	food product (noun)
animal reproductive body consisting of an ovum or embryo together with nutritive and protective envelopes; especially the thin-shelled reproductive body laid by e.g. female birds	a substance that can be used or prepared for use as food
one of the two male reproductive glands that produce spermatozoa and secrete androgens
oval reproductive body of a fowl (especially a hen) used as food

egg (verb)	food product (verb)
coat with beaten egg
throw eggs at