In a large bowl, combine flour, sugar, baking powder and baking soda. Cut the butter pieces into flour until small crumbs (about 1 minute).
Stir the lemon zest into the mixing bowl. Combine the lemon juice and milk and immediately pour into the mixing bowl. Stir until combined and work dough into a ball. Knead 8-10 times. *Optional: Let dough rest in the refrigerator for at least 15 minutes to make it easier to work with.
On a well floured surface, roll out dough until it is about a 1/2" thick. With a knife, cut the dough into small triangles. Or, using a shot glass or clean medicine cup, cut the dough into small circles. Place on a cookie sheet and bake at 350 degrees for 12-15 minutes, until lightly golden brown on top. Remove to a wire rack and cool completely.
For the Glaze:
In a small bowl, combine powdered sugar and lemon zest. Slowly add just enough lemon juice until you reach the desired consistency for a glaze.
Spoon glaze over the cooled mini scones and let dry. Enjoy!