Sounds like they might be drying out, maybe while they’re waiting to be cooked. You can keep them under a moist towel while waiting if that’s the issue. They might also be cooking too long. I don’t have a great sense of what doneness looks like for tortillas, but I imagine knowledge mostly comes from experience.

Post pictures when you get a good batch!

This is my goto recipe. I use the butter variant and they’re fluffy, chewy and perfect every single time. I used to use a press, but didn’t care for how small the tortillas ended up so I mostly smash the dough balls with a large pan or something similarly silly.

Yeah I’ve never seen tortillas made with oil. That’s too much liquid. You need shortening or lard.

Alternately, try making corn tortillas. Much easier and tastier.

Try using lard or shortening instead of oil, like this:

https://www.mexicoinmykitchen.com/flour-tortillas-de-harina/

Need a better fat for this application. Also you didn’t specify hot water, which is essential according to every abuelita I’ve talked to about it.

You don’t need shortening or lard ( though lard is certainly more traditional), oil should be fine. You do probably want some baking powder in there, but if you are ending up with a cracker its likely the method and not ingredients that are the problem.

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Most recently, I used this flour tortilla recipe and was happy with the results. I found having a video helpful as another form of feedback to see if I was following the recipe correctly.