To prepare the sauce: heat the oil in a large sauté pan or saucepan set over high heat. Add the onion and sauté until golden brown, 6 to 8 minutes. Add the garlic and continue cooking for an additional minute or two. Add the carrots. Squeeze the tomatoes into the pot, breaking them up into smaller pieces between your fingers. Add all of the juice from the tomatoes, plus about ¼ cup of water that you use to rinse out the can. Add the brown sugar, vinegar, salt, pepper, and bay leaves, and bring to a boil. Turn down the heat to a simmer and cook for 10 minutes.