Heat the olive oil in a large skillet over medium-high heat. Add the beef and some salt and pepper and cook, breaking up any clumps with a wooden spoon, until brown, about 5 minutes. Add the onion, pepper, and chili powder and cook, stirring, until softened, about 5 minutes. Add the tomato paste and cook, stirring, 1 minute. Add the tomato sauce, sugar, vinegar, Worcestershire, soy sauce and 1/2 cup water and bring to a simmer. Simmer, stirring occasionally, until thickened, about 10 minutes.
Serve the meat on the buns topped with Fruit Drink Pickles.
Fruit Drink Pickles:
Drain the brine from the pickles into a bowl. Add the fruit drink packet and sugar and stir until dissolved. Add the brine back to the jar (discard any that doesn't fit). Refrigerate at least 2 days and up to 1 month.