letesz valamit az asztalra = put something down onto the desk; having an achievement, used when boasting, or comparing oneself to others, or when you want other to shut up because you are the májer and he did nothing notable yet.
májer = major?; the best, the greatest, the boss etc.
nagy arcú = having a big face; someone who is boastful
bassza a csőrét = fucks somebody's beak; to be disturb by something
fingani a passzát szelet = to fart the passat wind

You know what's fucking my beak? That he plays the boss as if he had farted the passat wind. He should put something onto the table then he can have big face.