Preheat Oven: Preheat oven to 350°F (175°C). Spray cake pans with cooking spray and line the bottoms with parchment paper.
Prepare Dry Ingredients: In a medium bowl, mix together cake flour, baking powder, baking soda, and salt. Set aside.
Prepare Wet Ingredients: In a small bowl, mix together milk and yogurt. Set aside.
Cream Butter and Sugar: In the bowl of a stand mixer, cream together butter and lemon sugar until fluffy and pale in color.
Add Eggs and Extracts: Add eggs to the mixer one at a time, mixing well after each addition. Stir in vanilla and lemon extracts.
Combine Dry and Wet Ingredients: Add 1/3 of the flour mixture to the mixer and mix until well combined. Then pour in 1/2 of the yogurt mixture and mix. Repeat the process, ending with the remaining flour mixture. Stir in the lemon juice.
Prepare for Baking: Evenly divide the batter among the prepared pans (about 2 cups of batter per pan). If you only have two cake pans, bake two layers and set aside the remaining batter until you have a cool pan to bake the last layer.
Bake: Bake for 20 minutes or until a cake tester comes out clean when inserted into the middle. The top should also spring back when gently pressed with a finger. Cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.