In a large mixing bowl, thoroughly combine the flour, granulated sugar, instant yeast, and salt using a whisk to ensure even distribution of the dry ingredients.
In a separate bowl, whisk together the warmed milk, melted butter, eggs, and vanilla extract until the mixture is smooth and uniform.
Gradually pour the wet ingredients into the dry ingredients, stirring with a wooden spoon or spatula until a rough dough forms.
Transfer the dough onto a floured surface and knead for about 5-7 minutes until the dough becomes smooth and elastic.
Form the dough into a ball, place it in a greased bowl, cover it with a damp cloth, and set it in a warm environment to rise for about 1 hour, or until it has doubled in size.
While the dough is rising, make the sticky topping: In a medium saucepan, combine the chopped pecans, brown sugar, maple syrup, and softened butter over medium heat. Stir continuously until the mixture is melted and well-combined, then remove it from the heat and let it cool slightly.
Preheat your oven to 350°F (175°C) and grease a 9x13-inch baking dish to prepare for the rolls.
Once the dough has risen, punch it down to release the air, then roll it out on a floured surface into a rectangle approximately 16x12 inches in size.
Evenly spread the softened butter for the filling over the rolled-out dough, and then sprinkle a mixture of ground cinnamon and the packed brown sugar on top.
Starting from one of the long edges, tightly roll the dough to form a log. Slice the log into 12 equal pieces using a sharp knife or dental floss for clean cuts.
Arrange the sliced rolls in the prepared baking dish, making sure they fit snugly together.
Drizzle the prepared sticky pecan mixture evenly over the top of the buns, distributing it carefully to coat them well.
Cover the baking dish with a towel and allow the buns to rise for another 30 minutes until they become fluffy and puffy.
Bake the buns in the preheated oven for 25-30 minutes, or until they are golden brown and may have a hint of bubbling syrup around the edges.
Once baked, let the sticky buns cool in the dish for about 5 minutes before flipping them out onto a serving platter. Serve them warm for the best experience.