hello me name is PIDZIE , and I wonder if the speed run in duo and well authorize or not

hi @PIDZIE There is a category for Co-op runs, if that's what you mean, yes. They have specific rulesets though, so if you are going to submit a run make sure you read them first.

what and the name of this type of run yes I can find it

Its glitchless co-op

not sure if this link works for you but here:

https://www.speedrun.com/mc?h=Any_Glitchless_Co-op-2_Players-1.16-Random_Seed&x=zd301qed-68k5jz82.jqz6vmm1-68kd9yql.rqvojn6l-rn1p34dn.5lm7wvjl