Soak the dates in hot purified water for 10 minutes.
Preheat the oven to 375°F. Grease a bundt pan with coconut oil.
Combine the flours, cocoa, baking soda, baking powder, salt, and orange zest in a large bowl; mix thoroughly.
Reserve ½ cup of the date soaking water and add it to a blender along with the drained dates and orange juice; blend until smooth. Add the applesauce, coconut oil, and balsamic vinegar, and pulse to combine. Pour the date mixture into the bowl with the dry ingredients and stir just until everything is incorporated.
Pour the batter into the prepared bundt pan, transfer it to the oven, and bake for 55-60 minutes, until a toothpick inserted into the center comes out clean. Remove the cake from the oven and let it cool for at least 20 minutes, then invert the cake onto a plate or cake stand.
Make the glaze: Melt the chocolate and coconut oil in a double boiler setup until liquified and combined. Pour the glaze over the vegan chocolate orange cake and garnish as you please (more orange zest, chopped pistachios or dried rose petals).