For example, Pepperberg shows (the bird) objects like a green wooden peg and a red paper triangle.

Literal

For-example, Pepperberg [topic-は] green [of-の] wood [of-の] peg [and-と] red [of-の] paper [of-の] triangle [like-のような] object [object-を] shows.

A reference to Irene Pepperberg's famous studies with Alex the African gray parrot. ~のような物体 ('objects like X') uses the nominal-simile modifier. The long pre-nominal modifier 緑色のもくせいの留めくぎと赤色の紙の三角形のような piles up nouns linked by の — typical of dense descriptive Japanese.