Cook shredded beef according to directions. Drain beef well, set aside. Heat a non-stick griddle over medium high heat. Cook tortillas for about 15 - 30 seconds on each side until soft and flimsy (can't think of a better word =). Immediately remove tortillas to a plate in a stack and cover with a saucepan lid large enough to cover diameter of tortillas (this seals in moisture and helps them roll well without cracking). Repeat this step until all the tortillas have been cooked.
Fill a non-stick sauce pan with mixture of a few tablespoons vegetable oil and a few tablespoons extra virgin olive oil, it should be a layer of oil about 1/2 inch high (this is where the extra virgin olive oil is optional, you can use all vegetable oil, I just prefer both for flavor and health benefits). Heat oil over medium heat.
Remove one tortilla at a time, place about 1/4 cup shredded beef on tortilla in a line down the center of the tortilla. Roll the tortilla snugly then insert a toothpick through the center so ends of tortillas stay in place. Using metal tongs, gently place taquitos into hot oil (I usually fit 4 - 5 taquitos in at a time). Cook until lightly browned then remove toothpick, and using tongs, rotate taquito and cook opposite side until lightly browned. Using tongs, remove from oil to a paper towel covered plate. Add additional oil to pan as needed while cooking taquitos. Serve warm with salsa, sour cream, guacamole or cilantro lime ranch for dipping.