It is a popular Mexican recipe from the state of Jalisco, originally made with lamb meat. Beef birria recipes, or birria de res, are common now - I use chuck roast beef in my Mexican stew. Birria tacos are made of delicious Mexican Stew and Mexican cheese such as oaxaca. The secret to what makes birria tacos so incredible is dipping the tortillas in the fat from the stew to fry them in a pan. You then dip the tacos in the birria consome.