Heat a saucepan over medium heat.
Add butter. Once melted, whisk in the flour. Cook for 3 minutes, or until thickened and bubbling.
Combine beef stock, minced garlic, liquid smoke, Worcestershire sauce, black pepper, apple butter, soy sauce, distilled white vinegar, lime juice, tomato paste, corn syrup and anchovy paste in a bowl and whisk well.
Slowly incorporate this into the roux, whisking as you add about ¼ cup at a time. Allow sauce to come to a low boil in between pours.
Once fully incorporated, lower heat to a simmer for 10 minutes, or until thickened and enjoy!