Combine the oil, applesauce, orange juice, maple syrup, eggs, and vanilla in a large bowl, whisking to combine.
To the same bowl, add the oat flour, salt, and baking soda, stirring until well combined. Add 1 cup cranberries and stir again until well incorporated.
Grease or line a 12-cup muffin pan with silicone liners. Spoon 3-4 heaping tablespoons of batter into each cup. Sprinkle each with the remaining 1/4 cup cranberries (a few on top of each muffin).
Bake the muffins for 25 minutes, or until the tops are slightly browned and a toothpick comes out clean when inserted into the center of a muffin.