i live in the middle east for five years and never once saw falafel made with eggs, or anything else non-vegan for that matter. In the US particularly it is not something you need to worry about.
1 cup dried chickpeas or 16 oz. can of chickpeas or garbanzo beans.
1 large onion, chopped
2 cloves of garlic, chopped
3 tablespoons of fresh parsley, chopped
1 teaspoon coriander
1 teaspoon cumin
2 tablespoons flour
Oil for frying[\\quote]
This is essentially the recipe for EVERY falafel, some families may just add different spices, more or less, or such.
Hope that helped