This is a boss battle against the Krow.
The Krow will pick up an egg and drop it. Run under it as it bounces towards you, then pick it up and throw it back at the Krow. Repeat this once.
Next, the Krow will ram its next, causing the eggs to fall by themselves. One egg will stop, allowing you to grab it and throw it at the Krow as it flies around in circles.
Once the Krow is hit four times, it will fall down.
If you are able to jump on the Krow's nest itself, you will find two banana tokens.