Preheat oven to 375°F and line a muffin pan with muffin papers or spray with cooking spray.
In a medium-sized bowl, whisk together flour, brown sugar, baking powder and salt.
In a separate bowl, beat eggs with hand mixer on medium speed until foamy, about 30 seconds.
Add milk, vegetable oil, and vanilla to eggs and beat on low about 30 seconds.
Pour wet ingredients over dry and stir until just blended.
Scoop into prepared muffin pans.
Bake in preheated oven for 18 to 20 minutes.
Allow to cool for 5 minutes before serving.
Allow to cool completely before storing in an air-tight container for up to 3 days.