This is what I know about playing Earth Lucha based on trial and error until I was able to keep it fairly consistent. Earth Lucha REQUIRES 5* Sarasa and Fire Societte. Ayer is actually optional depending on if you want to run another non-attacker like Sen or Nemone in his place. I personally have never tried this method however, but I heard it's even faster. Baihu Fist is also a requirement as the ougi effect is two turns of mirror image and is invaluable at keeping MC alive and by proxy, your other characters alive. You will also need to at the very least triple box, especially during para which I will explain later.

MC runs splitting spirit to activate enmity/ougi earlier to keep up mirror image, the stacking hype skill for the damage, and revive in case you fuck up and a character dies. This is why you don't run a backline, so you can just revive someone if they die and no other character in earth is good enough to work in this set up. Typical revive order is Societte>Sarasa>Ayer.

I usually use GZ into Sarasa's 1st skill to put her at a good hp for damage right away. Her 2nd skill is also a rather large damage buff with her 5* and also helps keep her alive. However, during certain fairly safe parts of a fight I will just GZ and auto away and rely on the shield GZ gives her. This is mostly up to your own discretion and judgement.

Ayer is simple because all you need is to worry about is his 1st skill and when to press it. I tend to only see good damage when his HP is atleast red. How long you want to bring him depends on your judgement. Always be mindful that he has his unique buff up from using his 1st, as there will be times where you forget about activating it and his damage plummets.

Fire Societte is the absolute pillar of this team. Not only does her dance take hostility away from your glass cannons, it also boosts DA by 70% and TA by 30% after 5 turns and is constant as long as she lives. She is highest on the revive list because she brings both sustain AND your only major source of DATA. DO NOT underestimate her 1st skill as this will keep you almost completely immune to boss autos for 2 turns on a 4 turn cooldown. 60% damage cut is also incredibly useful and I sometimes find myself not using it enough. While Societte's 1st is on cooldown, you can also use Lucha's 1st skill to draw aggro but only if you have mirror image on MC.

When it comes to HP management for Sarasa and Ayer, it's mostly down to experience with how you feel in the current situation of the battle e.g. there's blind and charm but the boss is about to ougi, do you have a damage cut and do you think your characters will survive? Ideally you want to keep them both at around 25% HP atleast to do good damage.

You will keep ougi ALWAYS on. I've tried seeing if you'd do more damage by just autoing through it while holding ougi and no, it doesn't do more damage. I even asked Rukumasu to make sure and he says he always keeps it on. Just let your characters ougi whenever they want.

The bread and butter of Dirt Lucha is para. No other element can match the speed Earth goes at once para hits. However you will NEED to triplebox. Basically the moment you see para, splitting spirit your MC when you have no meter, GZ with Sarasa, and have Ayer drop to as low as he can and start mashing. It is inevitable that you will be spamming attack and clicking through the processing popup until it goes through, just do it anyway. I feel like you can go even faster with 4 boxes but my computer slows down too much when I try to.