First, in a larger bowl whisk oil and sugar until fluffy. Next, add lemon juice, soy yogurt, and vanilla, and combine.
Then add flours, baking powder, baking soda and carefully combine. Lastly, pour in soy milk. The batter should be light and smooth.
Pour the batter into the loaf cake pan lined with parchment paper, and bake at 400F (200°C) for about 50 minutes.
When the bread is out of the oven and completely cold, prepare the lemon glaze by mixing powdered sugar and lemon in a small bowl.
Pour the glaze over the bread and let it sit in the fridge for about 2 hours. Enjoy!