Step 1: In the bowl of a stand mixer, combine warm milk, yeast, and a tablespoon of granulated sugar. Let sit for 5-10 minutes until foamy.
Step 2: Add the remaining sugar, softened butter, eggs, and salt. Gradually add flour and knead with the dough hook for 5-7 minutes until smooth and elastic.
Step 3: Place dough in a greased bowl, cover, and let rise in a warm spot for 1 to 1.5 hours or until doubled in size.
Step 4: While dough rises, make the glaze: Melt 1/2 cup butter with 1/2 cup brown sugar and 1/2 cup maple syrup in a small saucepan. Pour into a 9x13 inch baking pan and sprinkle with pecans.
Step 5: Punch down the risen dough and roll it out on a floured surface into a 12x18 inch rectangle.
Step 6: Brush the dough with 1/2 cup melted butter and sprinkle with 1 cup brown sugar mixed with cinnamon.
Step 7: Roll the dough tightly into a log and cut into 12 even slices. Place slices on top of the pecan glaze in the baking pan.
Step 8: Cover and let rise for another 45 minutes. Preheat oven to 350°F (175°C).
Step 9: Bake for 25-30 minutes until golden brown. Let cool in the pan for 5 minutes, then invert onto a large platter.
Step 10: Whisk remaining 1/4 cup maple syrup with a tablespoon of melted butter and drizzle over the warm buns before serving.