Begin by preparing the meatloaf. In a large mixing bowl, thoroughly blend the ground beef, eggs, breadcrumbs (or crushed crackers), diced onion, garlic powder, Worcestershire sauce, salt, black pepper, and half of the ketchup. Form the mixture into a loaf shape and transfer it to a baking dish. Spread the remaining ketchup across the top. Bake in a preheated oven at 350°F (175°C) for 45 to 50 minutes, or until a meat thermometer registers an internal temperature of 160°F.
While the meatloaf is in the oven, begin assembling the apple dumplings. Peel and core the apples, then cut each into 8 equal sections. Unroll the crescent dough and wrap one apple slice in each triangle of dough. Arrange the wrapped slices snugly in a greased baking dish.
Melt the butter in a saucepan over low heat, then stir in the brown sugar and cinnamon until smooth and combined. Remove from heat and incorporate the vanilla extract. Evenly pour this mixture over the apple-filled dough. Gently pour the lemon-lime soda along the sides of the baking dish, avoiding the tops of the dumplings.
Once the meatloaf has finished baking, remove it from the oven and allow it to rest. Increase the oven temperature to 375°F (190°C). Place the apple dumplings in the oven and bake for 30 to 35 minutes, or until the pastry is golden brown and the sauce is bubbling.
To serve, slice the rested meatloaf and place it alongside a warm apple dumpling on each plate. The rich, savory flavor of the meat pairs beautifully with the sweet and spiced baked apples.