Preheat your oven to 350°F and line a loaf pan with parchment paper. In a large bowl, whisk together the flour, baking powder, baking soda, and salt.
In a medium bowl, “cream” together the sugar and oil until combined.
Whisk in the eggs to the creamed mixture before mixing in the yogurt, vanilla extract, lemon zest, and lemon juice.
Pour the wet ingredients into the dry ingredients and fold them together using a silicone spatula until just combined, making sure not to over mix the batter.
Before you add the fresh blackberries to the batter, toss them with the 2 additional teaspoons of flour to coat them before folding them into the batter. This helps prevent them from sinking to the bottom of your loaf.
Transfer the batter to your parchment paper-lined 9×5 pan. Bake for 45–48 minutes or when a toothpick inserted into the center comes out clean.
Let the bread cool in the pan for 30 minutes before carefully transferring it to a cooling rack to finish cooling completely. When the loaf is nearly cool, whisk together the glaze ingredients and drizzle on top followed by halved blackberries.