Biscuits with Egg and Butter - how long will they keep?
Basically once cooked and if stored in a dry container cookies will keep for a couple of weeks at room temperature and several months (perhaps a year) in the freezer. 

The biggest problem with these cookies will be degradation of the fats in the almonds and butter resulting in rancid tastes - these are not dangerous, just unpleasant.

There are few risks with food safety regarding cooked cookies as the temperature of cooking is enough to kill all potential pathogens and typically lowers the water activity within the cookie to a point where few pathogens are capable of growing. It is hard to say what the exact water activity of your cookies will be, but I suspect fairly low.