Gingerbread Doughnut Muffins

• 3 cups all-purpose flour
• 2 tsp baking powder
• 1/4 tsp baking soda
• 3/4 tsp salt
• 1 Tbsp ground ginger
• 1 1/2 tsp ground cinnamon
• 1/2 tsp ground nutmeg
• 3/4 cup packed light-brown sugar
• 6 Tbsp unsalted butter , softened
• 1/4 cup vegetable oil , divided
• 1 tsp orange zest
• 2 Tbsp unsweetened applesauce
• 2 large eggs
• 1 tsp vanilla extract
• 1/4 cup + 2 Tbsp molasses
• 1 1/4 cups milk

Glaze

• 2 cups powdered sugar
• 2 1/2 - 3 1/2 Tbsp fresh orange juice or milk
• 1/4 tsp vanilla extract