Preheat oven to 350 degrees Fahrenheit.
Mix your flax eggs by combining 2 tablespoons of ground flax seeds with 6 tablespoons of water. Set in fridge to firm up.
Cream coconut oil and sugar together until the coconut oil is incorporated into the sugar in small clumps.
Add flax eggs, oat milk, lemon juice, and lavender to the same bowl.
In another small mixing bowl, add baking powder and salt to flour and whisk together.
Add dry ingredients to wet mixture and stir until just combined.
Pour into a loaf pan that has been greased.
Bake for 45-55 minutes. Loaf is ready when a toothpick inserted into the center comes out clean.