Preheat the oven to 350°F
Prepare a standard loaf pan (5x9 inch) by greasing it or use parchment paper. Alternatively, use a silicone pan.
n a small bowl, combine the ground flaxseed and water. Set aside to thicken for 5 minutes. (These are your flax eggs)
In a large bowl, whisk together the sugar, oat milk, orange zest, orange juice, applesauce, flax eggs, and vanilla until well-combined.
In a separate bowl, combine the flour, baking powder, and salt.
Add the flour mixture to the wet ingredients. Stir just until combined. Avoid over-mixing.
Gently fold the cranberries into the batter.
Pour into the prepared pan. Place in the center rack of the oven. Bake for 55-65 minutes, until a toothpick inserted into the center comes out clean.
Let the bread cool for 10 minutes in the pan. Then transfer to a wire rack to cool completely.