Using a pastry cutter or fork, cut the shortening into the flour until it resembles a coarse meal.
Dissolve salt in warm water. Stir in garlic.
Slowly pour in water, stirring with a fork to combine. Use the fork to stir the mixture until it comes together.
Transfer the dough to a lightly floured surface and knead with hands until the dough comes together and is smooth, about 3-4 minutes.
Divide dough into 12 pieces. Roll into a ball and set on a large plate or sheet pan. Cover with plastic and let rest at room temperature for one hour.
Using a tortilla press, take the dough and press into tortillas. If you don't have a tortilla press, just use a rolling pin to roll dough into concentric circles.
Heat a skillet to a medium-high heat. Add tortilla dough to the hot skillet. Cook until golden brown, about 1-2 minutes. Flip, cook another 30 seconds to one minute.