In the bowl of a standing mixer, cream sugar and butter together until combined. Add eggs and continue to mix until well combined
Add ricotta and vanilla and mix for another minute
Add flour, baking soda, and salt and mix until just combined
OPTIONAL: Although you may bake right away, refrigerating the dough in an airtight container for one hour or up to a few days, will reduce spread, make the dough easier to handle, and improve flavor.
To Bake the Cookies
Preheat oven to 350 degrees and place rack in center of oven
Drop cookie dough or roll into balls (my preference) onto an ungreased cookie sheet (use parchment paper if you have it) and bake for 15 minutes. (if you refrigerated the dough, allow the dough to warm up just enough so it is easy to shape/handle.
Do not overbake! cookies will be very light in color
For the Icing
Place powdered sugar in large bowl and whisk to break up any clumps.
Add salt, melted butter, vanilla extract, lemon juice, and whisk until smooth.
Add the milk, one tablespoon at a time, until the icing is smooth yet still quite thick.
Adjust accordingly by adding more powdered sugar if it is too thin.
To Decorate
Wait until cookies are completely cooled before icing or the icing will melt off.
Before icing dries, feel free to decorate with additional lemon zest if you'd like.
Storage
After icing, let stand for 30 minutes to firm up the icing before storing.
Notes
Store these cookies in an airtight container for up to 3 days or so. I've frozen mine and they keep well for at least a month.