Preheat the oven to 350F (180C) degrees. Line the bottom of two 8-inch (20 cm) cake pans with 2 inch (5 cm) sides with rounds of parchment paper. Grease and flour the sides. If your 8-inch cake tins are sandwich tins with 1 to 1 1/2 inch sides, use 9-inch round cake tins.
In a large bowl, sift together the flour, baking powder, baking soda and salt. Give the bowl a whisk. Set aside.
In a separate bowl or liquid measuring cup, whisk together the oil, milk, 1/2 cup reduced strawberry puree, vanilla and optional red food coloring. If using gel food coloring, I recommend only using 1-2 drops.
In a separate large bowl, beat the butter and sugar until fluffy (about 2 minutes).
Beat in the egg whites into the butter mixture about 1/2 at a time.
With the mixer on low speed, beat about 1/3 of the flour mixture into the butter mixture. Then mix in about 1/2 of the milk and strawberry mixture. Turn off the mixer and scrape down the sides of the bowl. Repeat the process until all the flour mixture and milk mixture are incorporated. Do not over mix the batter.
Divide the batter evenly between the 2 pans and smooth the top.
Bake in the preheated oven for 30-35 minutes for 8-inch round pans and 25-30 minutes for 9-inch round pans, or until an inserted toothpick comes out clean or with a few cake crumbs but no gooey cake batter.
Cool the cakes completely in the pan, then gently inserted onto a wire rack.