Kue Batangan Gula Mentega Coklat dengan Krim Mentega Karamel Asin

Bahan-bahan (16 porsi)

• ¾ cup unsalted butter, (browned)
• 1 ½ teaspoons vanilla extract
• 1 cup dark brown sugar
• ½ cup granulated sugar
• 2 large eggs, (at room temperature)
• 2 cups plus 2 tablespoons all-purpose flour
• ½ teaspoon salt
• ½ cup butter
• 1 cup packed brown sugar
• ¼ cup milk
• 3 ½ cups powdered sugar
• coarse sea salt, (for sprinkling)