A authentic Avgolemono soup has more eggs in it and uses white short grain rice or orzo. I have amended to make it healthier.
I have also cut back on the lemon and added vegetables to make the soup more wholesome.
Most of the time when I make this recipe, I leave the eggs out altogether for 2 reasons..1. because I don't always have time to beat eggs and 2. because I am watching what I am eating.