asparagus vs herbaceous plant

asparagus and herbaceous plant both are nouns.

Word	Noun	Adjective	Verb	Adverb
asparagus	Yes	No	No	No
herbaceous plant	Yes	No	No	No

As nouns, herbaceous plant is a hypernym of asparagus; that is, herbaceous plant is a word with a broader meaning than asparagus:

asparagus: plant whose succulent young shoots are cooked and eaten as a vegetable
herbaceous plant: a plant lacking a permanent woody stem; many are flowering garden plants or potherbs; some having medicinal properties; some are pests

Other hypernyms of asparagus include herb.

asparagus (noun)	herbaceous plant (noun)
edible young shoots of the asparagus plant	a plant lacking a permanent woody stem; many are flowering garden plants or potherbs; some having medicinal properties; some are pests
plant whose succulent young shoots are cooked and eaten as a vegetable