Preheat oven to 350*F. Grease an 8 ½" x 4 ½" loaf pan well and insert a paper liner.
In a small saucepan, combine non-dairy milk and lavender. Bring to a boil over medium heat, stirring occasionally. Once the mixture boils, remove from heat, place the lid on the pot and allow the mixture to steep for 7 minutes.
¾ Cup Non-Dairy Milk, 2 tablespoon Culinarly Lavender Flowers
Then, pour the mixture into a small bowl through a fine mesh strainer. Use the back of a spoon to press the lavender flowers to extract as much liquid as possible. See note! Then, set aside.
In a medium bowl, combine flour, baking powder, baking soda and salt. Whisk to combine and set aside.
In a large bowl, combine sugar, canola oil, applesauce, a ½ cup of the lavender milk mixture, lemon zest, lemon juice and vanilla. See note!
Add the dry ingredients to the wet ingredients and whisk to form the batter. Then, scrape the batter into a prepared loaf pan. Use a spatula to smooth the top of the batter.
Then, bake the cake in a 350*F oven for 57-63 minutes, or until a toothpick inserted into the center of the cake comes out clean. Allow the cake to cool in the pan for 20 minutes, then remove the cake and transfer it to a wire cooling rack to continue cooling.