Read the sentence.

John said that he saw a very lively Broadway show in New York last year.

Which word is the adverb?

a. Broadway

b. show

c. last

d. very

The adverb modifies the verb, but is not an object of the verb.

The object here, what John said is "a very lively Broadway show". (which contains options a, b and d, and leaves c as the correct answer).

But i would say that there is not "an adverb" but an adverbial phrase "last year" - both these words are needed to form the phrase