The precise language will depend on the terms and phraseology used in the target country (presumably Canada, but we can’t be sure); what the entire sentence means (using UK terminology) is:

[This court] hereby instructs the relevant office of the Civil Registry to make the appropriate annotation [to the entry in the marriage register], and for this purpose orders the despatch [to the said Registry] of a certified copy of this decision.


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Note added at 2 hrs (2014-10-19 19:47:26 GMT)
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Ups! - I left out "en su oportunidad". That implies "una vez ejecutoriada la sentencia", meaning that the instruction is to be sent only when the period during which the parties can appeal the decision has ended.

Not enough room but it finishes with Civil Registry

oficiar = correspond officially in written form, en su opportunidad = in due time, I'm calling this at the earliest opportunity, al correspondiente = to the corresponding, Registro Civil = Civil Registry