Correct sentence (simple): The bowerbird makes a pretty bower to make a girl bowerbird like him.
Another clear form: The bowerbird decorates its bower to impress a female bowerbird.
Why this is better — step by step:
- Who? "The bowerbird" — that is the bird we talk about.
- What? "makes a pretty bower" or "decorates its bower" — that is what the bird does.
- Why? "to make a girl bowerbird like him" or "to impress a female bowerbird" — that tells the reason.
The original phrase "its lady" sounds odd because we usually say "female," "mate," or, for a child, "girl bowerbird." "Impress" can be explained to a 5-year-old as "to make her like him." Try saying the simple sentence out loud: "The bowerbird makes a pretty bower to make a girl bowerbird like him."