Preheat the oven to 350°F (175°C).
Liberally grease and flour a 10-cup bundt pan. Set aside.
Whisk the flour, cinnamon, ginger, nutmeg, baking powder, baking soda, and salt in a medium bowl.
Beat the granulated sugar, brown sugar, eggs, oil, Greek yogurt, and vanilla in a large mixing bowl until smooth. A stand mixer works great for this.
Slowly stir the dry ingredient mixture into the wet ingredients.
Fold in the grated carrots, orange zest, and any optional mix-ins like nuts or raisins.
Transfer the batter to the prepared pan, spreading into an even layer.
Bake for 55-60 minutes, or until the toothpick test comes out clean. (when working with bundt cakes I find that the spring-back test isn’t quite as accurate because of how thick the cake is)
Let the cake cool in the pan for 15 minutes before inverting on a wire rack to remove it from the pan. Let it cool to room temperature on the wire rack before decorating.