Mince the garlic and add it to a sauce pot along with the olive oil, oregano, basil, thyme, rosemary, red pepper flakes, and freshly cracked pepper. Turn the heat on to medium-low and sauté for about 2 minutes, or until the garlic has softened.
Add the tomato paste and brown sugar. Stir until everything is mixed (the oil may stay partially separated). Cook the mixture while stirring continuously for 3-5 minutes, or until the tomato paste takes on a darker, almost burgundy hue.
Add the crushed tomatoes and vegetable broth. Whisk the mixture together until smooth. Turn the heat up to medium and heat through, stirring occasionally. Serve hot.