Heat olive oil in a large skillet over medium heat.
Add chopped onion and minced garlic, sauté until soft.
Season beef tips with salt and pepper, then brown in the skillet.
Sprinkle flour over the beef and stir well to coat.
Pour in beef broth gradually while stirring.
Add Worcestershire sauce and soy sauce, mix well.
Bring the mixture to a simmer, then reduce heat to low.
Cover and let it cook for about 45 minutes, stirring occasionally.
Check the beef for tenderness; it should be fork-tender.
Adjust seasoning if necessary before serving.