Wash and trim 2 pounds of green beans. Shake dry in a colander. Add to a large bowl.
Whisk two eggs, salt, and pepper. Add the eggs to the prepared green beans, and stir well to coat.
Season the beans with additional salt and pepper, and stir well. Set aside.
Preheat oven to 425-degrees F.
Add the instant potato flakes, everything seasoning, and cayenne pepper to a medium bowl. Stir well to mix.
Pour the potato flake mixture over the prepared green beans and toss well to coat the beans in the potato flakes.
Lay the coated beans in an even layer onto two baking sheets lined with parchment paper or foil (optional), and sprinkle additional potato flakes (from the bottom of the bowl) onto the beans, if desired.
Roast the beans for 12 minutes in the 425-degree oven. Rotate the baking sheets and roast again for an additional 12 minutes (24 minutes total).
Remove the beans from the oven and cool slightly before serving, along with the orange dipping sauce.