Preheat oven to 350° F.
Grease a 9x5-inch loaf tin with butter or baking spray and line with parchment paper.
In a small bowl, whisk together flour, salt, baking powder, baking soda, and cinnamon.
In a large mixing bowl, add the sugars, melted butter then whisk to combine. Add the eggs, mashed bananas, and vanilla extract. Whisk to combine.
To the sugar mixture, add the vegetable oil and Greek yogurt. Mix until smooth.
Add in the flour to the wet ingredients in three batches, using a whisk or rubber spatula to mix just until no streaks of flour remain before the next addition. A few lumps are okay.
Pour the batter evenly into the prepared tin. With a butter knife, draw a line lengthwise down the middle.
Bake for about 1 hour, or until a wooden skewer or cake tester comes out with just a few moist crumbs.
Transfer to a wire rack for 5 minutes and then let cool completely on a wire rack.