In a large bowl, use an electric mixer to cream together the unsalted butter and sugar. After a couple of minutes it should be light and fluffy.
Add eggs one at a time. Then, mix in the vanilla extract, lemon zest, lemon juice, and ricotta cheese.
Add the flour, baking soda, baking powder, and salt and mix together using a rubber spatula. Cover with plastic wrap and chill in fridge for at least 1 hour or overnight.
Preheat oven to 350℉. Use a mini scoop to scoop out 1 tbsp of dough onto a baking sheet 2 inches apart. Bake for 13 minutes. (The tops will be light and the bottoms will be browned).
Allow the cookies to cool completely before frosting. To make the glaze, first sift the powdered sugar into a bowl. Then, add the lemon juice, vanilla extract, and milk and mix until smooth.