Add minced garlic and oregano. Cook until fragrant, about 30 seconds, then add the ground beef and seasonings. Break apart the beef with a spoon. Cook until beef is no longer pink, around 5-7 minutes. Stir in tomato paste.
Add the can of diced tomatoes (undrained), uncooked rice, and beef broth. Bring to a boil. Reduce heat to low, cover, and simmer for 15-18 minutes until rice is cooked. Stir occasionally and add extra broth if needed.
Turn off the heat, stir, and sprinkle cheddar cheese on top. Note: For minute rice, simmer for 10-15 minutes and add rice in last 1-2 minutes. If using brown rice, cook separately and add similarly.
Notes
No alcoholic drinks allowed, please substitute with a non-alcoholic option.