Set your oven to 325 degrees F. Spray an 11" x 15" rectangular baking sheet with nonstick spray, line the bottom with parchment paper, and spray again. Set aside.
In a medium bowl, whisk together the flour, baking powder, and salt. Set aside.
Using a stand mixer fitted with the paddle attachment, beat the butter, oil, and sugar on medium-high for 3 minutes, until light in color and fluffy in texture.
With the mixer on medium speed, add the eggs, one at a time, scraping down the bowl between additions. Continue to beat on medium-high speed for 2 minutes until smooth. Add extracts and stir to combine.
With the mixer on low speed, add in internals, blending after each addition: 1/3 dry ingredients, 1/2 sour cream, 1/3 dry ingredients, 1/2 sour cream, 1/3 dry ingredients.
Scrape down the bowl and mix for another 20 to 30 seconds.
Pour the batter into the prepared pan and bake for 20 to 25 minutes.
Cool completely before cutting into tree shapes.