Preheat oven to 350 degrees F (175 degrees C). Grease 12 muffin cups or line with paper liners.
Mix flour, white sugar, brown sugar, cinnamon, baking powder, baking soda, nutmeg, and salt together in a large bowl. Stir bananas, canola oil, and coconut milk together in a separate bowl; mix banana mixture into flour mixture until just combined. Fill muffin cups with batter.
Bake in the preheated oven until a tooth pick inserted in the center of a muffin comes out clean, 30 to 35 minutes.
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