In a large pot, heat the olive oil over high heat (or omit and use vegetable broth one tablespoon at a time in step 2 to prevent onion and garlic from sticking to the pot).
Add the onions and cook, stirring constantly, until the onions are translucent and fragrant. Add the garlic and cook for 1-2 minutes more.
Add the vegetable broth, black-eyed peas, water, tomatoes, and optional tomato paste and brown sugar, and bring to a boil.
Turn down the heat to low, cover, and simmer for 2 hours, or until the peas are tender. Add more water or veggie broth as needed.
Add salt and pepper to taste.
Serve and enjoy!