Preheat Oven: Preheat your oven to 350°F (175°C).
Prepare Wet Ingredients: In a large bowl, cream together the butter and sugar using a hand or electric mixer until combined. Add the eggs, vanilla extract, and Greek yogurt, mixing until smooth. Stir in the red gel food coloring until fully incorporated.
Mix Dry Ingredients: In a medium bowl, whisk together the flour, cocoa powder, kosher salt, baking soda, and baking powder. Gradually add this mixture to the wet ingredients, stirring by hand until just combined (do not overmix).
Bake the Cake: Line a 9x5-inch metal loaf pan with parchment paper. Pour the batter into the prepared pan and bake for 30-40 minutes, checking at the 30-minute mark with a toothpick. If it doesn’t come out clean, bake in 3-5 minute increments until done.
Cool the Cake: Once baked, remove the loaf from the pan and allow it to cool completely on a wire rack for about 1 hour.
Prepare Icing: While the cake is cooling, beat together cream cheese, butter, vanilla extract, and milk until smooth. Gradually add powdered sugar and a pinch of salt, mixing until the icing is light and slightly thinner than frosting.
Assemble: Once the cake is cool, spread the cream cheese icing on top using a spoon or icing spatula. Slice and enjoy!
