I'm not sure whether this refers to a specific type of appeal proceeding, or simply to a motion to vacate the proceedings in general. In Spanish criminal procedure there is a "recurso de anulación" which is a "petition to vacate an in abstentia conviction" that may be granted under certain limited circumstances.

The seemingly inoffensive paragraph that you are translating in which the drafter mentions practically all of the appeal proceedings available under Spanish law is undoubtedly quite difficult to render accurately, and there is much debate among expert legal translators as how to best translate many of them. In the event it may be helpful, here are some short definitions:

recurso gubernativo—(non-judicial) appeal of a decision of the administrative authorities

recurso contencioso-administrativo—judicial appeal of a decision of the administrative authorities; administrative law appeal filed in a “juzgado contencioso-administrativo”

recurso de reposición (civil; laboral), reforma (penal), súplica (penal)—“reconsideration appeals” filed at the court that issued the decision under appeal, asking that it reconsider/amend its initial ruling

recurso de apelación (civil; penal)—second instance appeal (what is actually understood as an appeal in Anglo-American jurisdictions) in which a higher court or entity is asked to review the decision of a lower court or entity

recurso de casación—“cassation appeal;” appeal to the Supreme Court (can only be filed if certain formal and substantive requisites have been met)

recurso de revisión—petition to review an otherwise unappealable ruling (i.e., to reopen appeal proceedings and review a judgment that has become final; grounds for doing so are very limited); “recurso de revisión” is also used to refer to reviewing certain decisions (called “decretos”) issued by court clerks

injusticia notoria—I am unaware of an actual appeal proceeding under this term; one of the grounds for reviewing a final judgment of conviction is when “las circunstancias revelan la injusticia del fallo”

recurso de suplicación (laboral)—same as “recurso de apelación”, i.e., it is a second instance appeal, but in labor procedure, to review certain decisions of the “juzgados de lo social” and “juzgados de lo mercantil”

recurso de queja—appeal against the refusal to admit an appeal to prosecution (because it does not meet the procedural or substantive requisites)

nulidad—not really an appeal, but rather a motion to vacate the proceedings (“planteamiento de la nulidad de las actuaciones”)

incompetencia—motion challenging the court’s jurisdiction; motion to dismiss for lack of jurisdiction