In a medium bowl, whisk together the dry ingredients. Set aside.
In a large bowl, combine the eggnog, melted butter, white sugar, brown sugar, eggs, and vanilla extract. Whisk thoroughly.
Pour the dry ingredients into the wet ingredients and stir until just combined, being careful not to overmix. Spoon the batter into a 9×5-inch loaf pan.
Bake until the bread is lightly browned and a toothpick inserted into the center of the bread comes out clean.
Remove the bread from the oven and let it cool in the pan for 10 minutes, then more it to a wire rack to cool completely.