Preheat oven to 350°F.
Peel bananas into a large bowl and mash them with a whisk until smooth.
Add cane sugar, brown sugar, oil, non-dairy milk, vanilla extract, and apple cider vinegar. Mix until well incorporated with the mashed bananas.
Into the same bowl, add flour, cinnamon, allspice, nutmeg, salt, baking powder, and baking soda. Mix until just combined. Do not overmix.
Transfer batter into a 4 1/2" X 8 1/2" loaf pan that has been greased and lined with parchment paper.
Sprinkle chopped nuts and cinnamon sugar on top.
Bake at 350°F for 45-50 minutes. After 45-50 minutes, You can insert a cake tester or toothpick in the center, and if it comes out clean, then you'll know that the banana bread is done.
Cool completely before slicing. Keeps for up to 3 days at room temperature in an airtight container.