Catequesis literally means "catechism", which is formal religious instruction, especially for Christians. It's a very unusual and intellectual word to find in a trap song!
Arcángel uses it with powerful irony. When he says "te vamos a dar catequesis" (we're going to give you catechism), he's not talking about religion. He's using it as slang for "teaching you a lesson" in a street-smart and forceful way, schooling his rivals on who's in charge.
"Tu No Vive Así" is a massive collision between Puerto Rican veteran Arcángel ("Austin Baby") and Bad Bunny, backed by DJ Luian and Mambo Kingz under Hear This Music. The track revolves entirely around calling out posers who brag about a lifestyle they do not actually live. The phrase "Tú roncas cabrón y tú no vives así" (You brag, bastard, and you don't live like this) sets the rules: stop faking the dangerous, luxury lifestyle when you cannot back it up. Arcángel flexes his veteran status, reminding everyone that he rose out of the alley on his own and bought his mother a million-dollar mansion ("le compré una mansión a mami de un millón"). He talks about commanding respect from peers who call him "papi" or "tío" (uncle), making it clear that he never lost his edge.
The lyrics are packed with punchy sports and pop culture wordplay. Bad Bunny compares his dominance on the court to basketball stars, joking that Stephen Curry only looks unstoppable until LeBron James defends him ("Curry la mete / Hasta que Lebron lo galdea"). He drops a clever double meaning with "tengo a Cristianos orándole a Messi" (I have Christians / Cristianos praying to Messi), playing on soccer rivals Cristiano Ronaldo and Lionel Messi while turning it into a religious pun. By the time they bring in references to Versace's Medusa logo, Meek Mill, Percocet pills, and mosh pits at Lollapalooza, the message is unmistakable: they hold all the real power, while their rivals are just putting on an act.