They look to me like " Olde El Paso". they're awful. they're also about as "Mexican" as a highlander's sporren. They're a poor version of what Mexicans call a "tostada", which is not folded up double like that, but flat.
See if you can get hold of some corn tortillas online. There are plenty of authentic Mexican tortilla makers in the UK, believe it or not. When I was in Mexico, I'd walk 200 yards from the flat and there was a little shop churning out 100 fresh tortillas per minute.
"Soft" tortillas are called "tortillas", because that's what they are. In Mexico, you can find the regular "white" tortillas , made from nixtmalized corn (they soak the corn in lye to remove the husk), or even blue tortillas. Go to any Street Food kiosk around La Reforma, in CDMX, or in the centre of the city, and they'll serve your "tacos" with soft tortillas. If you fill them with, for example, white cheese, then roll them up and fry them, you have "flautas". When the tortillas are stale (ie, the following day), they make them into tostadas, or quesadillas, or they make them into tostadas, break them up and use them to make chilaquiles. Nothing gets wasted.
Flour tortillas are mostly from Northern states (Chihuahua, Sinaloa) and are made from flour, because it's easier to grow wheat up there.