Spray a 13 by 9-inch baking dish with non-stick spray.
Combine flour, powdered sugar, salt, butter, and lemon zest to a large mixing bowl. You can either use an electric hand mixer, food processor, or a pastry blender.
Press the cookie base into the baking dish using your fingers.
Bake the lemon cookie base for about 20 minutes until golden brown.
While the crust is baking make the lemon filling. Beat the eggs, lemon juice, lemon zest, granulated sugar, flour, and salt. Mix well.
After the crust has baked for 20 minutes, remove it from the oven and slowly and carefully pour in the lemon filling.
Return the lemon cookies to the oven and continue to bake for 20 - 25 minutes. The Lemon Cookie Bars are done when the center of the filling has set, and the top of the bars are just starting to turn a golden brown color.
Remove from the oven and cool the cookie bars on a wire rack.
Notes
Cool completely before cutting the cookie bars. Using a sharp knife helps make clean lines. Store the cookies in the refrigerator, covered, for up to 5 days. Remember to use fresh lemon juice. It along with the lemon zest makes all the difference. It's hard to judge how much juice you will get from each lemon, but on average you will get about ¼ cup of lemon juice and 1 tablespoon of zest.