Combine drippings (or butter), beef juices (or broth/stock), Worcestershire sauce, and red wine in a saucepan over high heat. Whisk in garlic powder and onion powder, if using. Add fresh herb sprig.
Bring to a boil. Reduce to a simmer and cook for 5 minutes.
Strain through a fine mesh sieve so the sauce is completely smooth.
Serve warm with French dip sandwiches, roast beef, prime rib, chicken, lamb, etc.