Preheat your oven to 350°F (175°C). Grease and flour two 9-inch cake pans, lining the bottoms with parchment paper.
In a medium bowl, whisk together the cake flour, baking powder, baking soda, and salt. Set aside.
In a large mixing bowl or stand mixer, cream together the butter and sugar until light and fluffy, about 3-4 minutes.
Add eggs one at a time, beating well after each addition. Mix in vanilla extract.
Alternate adding the dry ingredients and strawberry puree to the butter mixture, starting and ending with the flour mixture. Mix until just combined.
Add milk and stir until smooth. If desired, add a few drops of food coloring for a deeper pink color.
Divide the batter evenly between the prepared pans.
Bake for 25-30 minutes, or until a toothpick inserted into the center comes out clean.
Cool in pans for 10 minutes, then remove and cool completely on wire racks.