In a large mixing bowl, warm 1 cup of milk until it's warm to the touch. Sprinkle in 2 teaspoons of active dry yeast and let it bloom for about 5 minutes. Whisk in 2 large eggs, 1/4 cup of melted butter, and 1/4 cup of sugar. Gradually add 3 to 4 cups of flour and a pinch of salt, kneading until smooth (5-7 minutes).

Transfer the dough to a greased bowl and cover it. Let it rise in a warm place until it doubles in size (about 1 hour). Punch down the dough gently after rising.

Combine 1/2 cup of brown sugar, 2 tablespoons of cinnamon, and 1/4 cup of cooled brown butter in a bowl. Stir until you form a paste-like consistency.

Roll the dough out into a rectangle about 1/4 inch thick. Spread the cinnamon filling evenly, leaving space at the edges. Roll the dough tightly into a log, pinching seams, and slice into 12 even pieces.

Place the cut rolls into a greased baking dish close together but not touching. Cover loosely and let rise for 30-45 minutes until puffy.

Preheat oven to 350°F. Bake rolls for 20-25 minutes until golden brown. Watch closely to avoid over-browning.

Whisk together 1 cup of powdered sugar, 2 tablespoons of maple syrup, 2 tablespoons of milk, and 1 teaspoon of vanilla extract until smooth.

Once rolls are baked, let them cool for 5 minutes. Drizzle glaze generously over warm rolls to enhance flavor.