If time allows, let the meat rest at room temperature for 20-30 minutes.
Preheat oven to 300F.
In a large dutch oven over medium high heat, add the olive oil to heat up for 1-2 minutes.
Add the chuck roast and short ribs to sear on all sides for 3-4 minutes, until deeply browned.
In the meantime, add the dried chiles, Roma tomatoes, garlic, and onion to a large saucepan. Fill with water, the place over medium high heat to bring to a boil. Let simmer for 10-15 minutes. Drain the water and blend until smooth.
Pour the sauce into the dutch oven. Stir in the seasonings, oregano, bay leaves, and beef broth.
Cover with the lid to bake in the oven for 3-4 hours.
Remove the meat from the dutch oven and let rest 10 minutes before shredding between two forks.