Cake

• 2 3/4 cups all-purpose flour (about 11 5/8 ounces), plus more for dusting
• 3 tablespoons unsweetened cocoa
• 1 teaspoon baking soda
• 1/2 teaspoon fine sea salt
• 1 cup whole buttermilk, at room temperature
• 1 teaspoon white vinegar
• 1 1/2 cups granulated sugar
• 3/4 cup unsalted butter (6 ounces), softened, plus more for greasing
• 3/4 cup unrefined coconut oil, melted and slightly cooled
• 2 large eggs, at room temperature
• 2 tablespoons red liquid food coloring
• 2 teaspoons vanilla extract

Frosting

• 2 (8-ounce) packages cream cheese, softened
• 1/2 cup unrefined coconut oil
• 1 teaspoon vanilla extract
• 4 cups powdered sugar (about 1 pound)
• 2 cups finely shredded unsweetened coconut
• Toasted coconut flakes, for garnish