lampoon vs jest at

lampoon is a noun but jest at is not a noun.

Word	Noun	Adjective	Verb	Adverb
lampoon	Yes	No	Yes	No
jest at	No	No	Yes	No

As verbs, jest at is a hypernym of lampoon; that is, jest at is a word with a broader meaning than lampoon:

Other hypernyms of lampoon include blackguard, guy, laugh at, make fun, poke fun, rib, ridicule, roast.

lampoon (noun)	jest at (noun)
a composition that imitates or misrepresents somebody's style, usually in a humorous way

lampoon (verb)	jest at (verb)
ridicule with satire	subject to laughter or ridicule