I agree with AllegroTrans that it would be useful to have additional context to be able to provide an accurate answer to your query. But for starts my first observation would be to underscore that I don’t think that a literal translation will work here, since several of the terms in your question have very specific meanings in legal Spanish:

“asunto”—in this context, "asunto" is more than a "matter", referring specifically to the "case" before the court (here, a petition for divorce)

“conocimiento del asunto”—in this context “conocimiento” doesn’t refer to “knowledge” but rather to the court’s “hearing of the case”. This is a common idiomatic expression in legal Spanish: “conocer de (un asunto; una causa, etc.) = “to hear a case”

“órgano”—in this context “órgano” doesn’t refer generically to an “authority,” but rather is an often-used abbreviation of the expressions “órgano judicial” or “órgano jurisdiccional”, i.e., one of the many terms in Spanish for “court”.

“subjetivo”—in this context I don't think “subjetivo” means “subjective” (a “subjective court”?) but rather I suspect that the reference is to the “court having personal jurisdiction.” I am basing this suggestion on the fact that “competencia subjetiva” is the Spanish equivalent of “personal jurisdiction” or “in personam jurisdiction”. But it might be best to confirm this with a Venezuelan colleague.