Preheat the oven to 350°F (177°C). Generously grease a 9×13-inch cake pan.

Whisk the cake flour, baking powder, baking soda, and salt together. Set aside.

Using a handheld or stand mixer fitted with a whisk attachment, beat the butter on high speed until smooth and creamy, about 1 minute.

Add the sugar and beat on high speed for 2 minutes until creamed together.

Scrape down the sides and up the bottom of the bowl with a silicone spatula as needed.

Add the egg whites. Beat on high speed until combined, about 2 minutes.

Then beat in the sour cream and vanilla extract. Scrape down the sides and up the bottom of the bowl as needed.

With the mixer on low speed, add the dry ingredients just until incorporated.

With the mixer still running on low, slowly pour in the milk until combined. Do not overmix.

Whisk it all by hand to make sure there are no lumps at the bottom of the bowl, then fold in the chopped Oreo pieces. Avoid over-mixing.

Pour batter into prepared cake pan. Bake for around 32–35 minutes or until the cake is baked through.

Allow cake to cool completely in the pan set on a wire rack. The cake must be completely cool before frosting.

In a large bowl using a handheld or stand mixer fitted with a whisk attachment, beat the cream cheese on medium-high speed until creamy, about 1 minute.

Add the confectioners’ sugar and vanilla extract, and then beat on medium speed until combined and completely smooth, about 2 full minutes.

Switch the mixer to low speed and with the mixer running, carefully pour in the cream in a slow and steady stream.

After all of the cream has been added, turn the mixer up to high speed and beat until thick and stiff peaks form, about 1–2 minutes.

If you’d like to pipe any frosting on the cake, set aside about 1 cup of frosting.

Fold chopped Oreos into remaining frosting (or all of the frosting if you are not piping any of it).

Spread onto cooled cake—it will be a thick layer of frosting.

Serve immediately or cover and set aside for a few hours before serving. Or cover and refrigerate for up to 1 day, then bring to room temperature before serving.