No eggs are necessary. Just baked these after my sister baked some for me and they are amazing!! Hands down my best sugar cookie recipe and I have tried a lot. Just make sure the butter has sat out for plenty of time (I left mine out overnight) that so that it is plenty soft - and that will provide enough liquidity for the recipe to come together. It's crumbly but when you roll into a ball, it holds together great, and you roll it out between two pieces of wax paper so it rolls more easily than any recipe I have rolled. Try these!! Definitely do not add eggs.
Looking at the recipe, I think one egg would do it.
did something get omitted from this recipe - it does NOT hold together I added a couple eggs and will try again - this is a very strange recipe