Transitive: It requires a direct object (the thing being moved).

Complex: It requires a second element—a complement—to complete the meaning. In the case of “put,” this complement is an adverbial complement (or locative complement) that states the location.

I(主语) + put(复杂及物动词) + the gift(直接宾语） + [in the closet].

The cashier puts the money [in my hand].

I put the gift [on the table].

The waitress(s) + puts (复杂及物动词) + the plate (直接宾语） + [on my tray].