The writer is essentially petitioning the court to dismiss the other party's action and to order him to pay costs for abuse of process. It could be worded as follows:

(literal translation which you can adapt to the rest of the context)

...with an express order to pay costs ("condena en costas"), given its (the "acción de protección's) absolutely reckless and groundless nature

(or) given that it is recklessly devoid of legal grounds, etc.