In the bowl of a food processor fitted with the bottom blade, add the all-purpose flour, wheat flour and salt and pulse 2 to 3 times to combine. Add in the cold lard and butter and pulse until the mix resembles cornmeal-like texture, 5 to 6 (20-second) pulses. Add the warm water and pulse until a dough ball forms.
Turn the dough out onto a well-floured board and knead until the dough is elastic and smooth and no longer sticky, 3 to 4 minutes. Form into a small loaf shape, about 6 by 4-inches. Wrap tightly in plastic wrap and let rest at room temperature for 1 hour.
Place the balls, one at a time, into a well-floured tortilla press, press down and remove. You should have a 6-inch disc at this point. Place the disc on a floured board and roll out to 8 to 9-inch in diameter and almost paper thin, lightly dusting with flour and turning as needed. You can stack them, separated by waxed paper.
Heat a cast-iron skillet or griddle over medium heat. Add the raw tortillas, one at time, cook for 30 to 45 seconds per side, or just until the bubbles puff up, then turn and repeat. Keep the cooked tortillas in a towel, covered, to keep warm and pliable.