Present Church means present pastors
But by "present Church" the Pontificians mean the Church of each age.
Even then they do not mean the community of the faithful living in one and the same age. They restrict the name "Church" to the overseers and pastors of the Church.
So when they claim that the authority of Scripture depends on the authority of the Church, they mean that the faith by which the faithful people receive the books of Scripture as true and divine rests on the testimony of the pastors then in office, and settles on that testimony.
Why? Because in the pastors and prelates of the Church there always resides a certain infallible, divine authority by which they can decide the truth and divinity of a book, so that their sentence and judgment bind our faith.
They even hold that those pastors have power to make authentic a book that until then was of doubtful authority, and about which either side might be held, so that after their determination it must be ranked with the other sacred and canonical books.
Latin
XXXI. Pontificii vero per Ecclesiam praesentem intelligunt uniuscujusque saeculi. Nec adhuc per illam Ecclesiam praesentem communitatem fidelium uno eodemque saeculo viventium intelligunt: sed restringunt Ecclesiae nomen ad praepositos & Pastores Ecclesiae. Itaque, quum pertendunt Scripturae authoritatem ab authoritate Ecclesiae pendere, mens eorum est, fidem illam, qua fidelis populus Scripturae libros amplectitur ut veros & divinos, niti testimonio Pastorum qui tum Ecclesiae praesunt, & testimonio illi acquiescere. Et hoc quia in Pastoribus & praesulibus Ecclesiae perpetuo residet infallibilis & divina quaedam authoritas, ex qua de libri alicujus veritate & divinitate pronunciare possint: ita ut sententia & judicium illorum fidem nostram obliget. Imo illos ea esse praeditos potestate, ut liber, qui hactenus dubiae fuit authoritatis, & de quo in utramque partem opinari licuit, per determinationem illorum fiat authenticus, & eodem postea debeat haberi numero quo libri alii sacri & canonici.