Preheat the oven to 350ºF (177ºC) and prepare three 6-inch or two 8-inch cake pans by spraying the sides with baking spray and placing a parchment paper circle into the bottom of each one.
In a medium bowl, add the sifted cake flour, baking powder, and salt. Whisk together and set aside. Mix together the orange juice and milk and set aside.
Using a stand mixer fitted with the paddle attachment, mix together the sugar and orange zest until fragrant and well combined, about 1 minute. Add the butter and vegetable oil, then cream together with the orange-sugar mixture on medium speed until light and fluffy, 2-3 minutes.
Add the eggs one at a time, mixing thoroughly after each addition. Add the vanilla, then mix for one minute on medium-high, scraping down the bowl and paddle once more.
With the mixer on low speed, add the dry ingredients and mix until just incorporated. Add the milk-orange juice mixture in a steady stream and mix until just incorporated. Scrape down the sides and bottom of the bowl and give it a few stirs to make sure there are no lumps.
Coat the cranberries in 1 Tbsp of flour, then gently fold them into the batter.
Divide the batter evenly between the cake pans (fill them no more than ⅔ full) and bake for 30-35 minutes, until a toothpick inserted comes out clean. Cool the cakes in the pan for five minutes before removing and continuing to cool on a wire rack or flat surface.