In a large saucepan or skillet, saute ground beef in 1 tablespoon of olive oil over medium heat, breaking it up as it cooks. Once the meat has browned, add the carrots, celery, bell peppers, onion, and salt. Cook, stirring occasionally, until the vegetables are beginning to soften, about 5-8 minutes. If the mixture seems dry at any point you can add another drizzle of olive oil.
Add the minced garlic and cook for another minute or two, stirring occasionally.
Add brown sugar, vinegar, Worcestershire sauce, tomato sauce, ketchup, and beef broth to the meat and vegetable mixture. Stir to combine. Simmer over medium-low heat, partially covered, stirring occasionally, for about 20 minutes until the vegetables are tender. If the sauce gets too thick you can add another splash of beef broth and/or water. If the sauce is thinner than you like you can simmer it uncovered and the extra liquid should cook off.
Season to taste with salt and pepper. Scoop the sloppy Joes into split buns or baked potatoes and serve.
Notes
How to serve sloppy JoesSloppy Joes are typically served on a soft bun. In an effort to keep this meal lighter I often serve it “open face” on only half of a bun (and eat it with a knife and fork). You can also add the meat into a baked russet potato or baked sweet potato, or just eat it on its own.Toppings for sloppy JoesMy favorite toppings for sloppy Joes are shredded pepper jack cheese and pickles. Feel free to top the meat with any cheese that you like. Jalapenos, pickled peppers, or chopped giardiniera are delicious options as well.Optional flavorings
You can add ¾ teaspoon smoked paprika into the meat mixture.
If you have the extra time you can add a roasted poblano pepper into the meat mixture. Roast a poblano pepper, remove the skin and seeds, chop it and stir it in along with the sauce ingredients.