Start by preheating your oven to 425 degrees F (220 degrees C). Gather all necessary ingredients.
In a large skillet over medium-high heat, add ground beef along with diced onion. Cook while stirring frequently until the beef is browned and the onion becomes translucent, approximately 8 minutes. Incorporate minced garlic and sauté for an additional minute until aromatic.
In a separate bowl, whisk together beef broth, vinegar, brown sugar, Worcestershire sauce, salt, soy sauce, yellow mustard, and a dash of pepper.
Pour the broth mixture into the skillet with the beef and onion. Stir and cook for about 2 minutes until the sauce slightly thickens. Remove from heat.
On a large baking sheet, arrange slices of Texas toast in a single layer. Bake them in the oven for 8 to 9 minutes or until the bottoms are golden and crisp while the centers remain soft.
Using the back of a large spoon, create a well in the center of each toast, ensuring to leave a 1/4-inch border. Fill each well with approximately 1/4 cup of the beef mixture. Top generously with shredded cheese.
Return the baking sheet to the oven and bake for another 5 minutes, or until the cheese is melted and the toast is crisp.
Serve the sliders hot, accompanied by pickle chips for a delightful crunch.