Hello!
I don't know what makes you say it's a quick fix, but you have definitely left all the important bits out.
Like showing what you already have at play there? And also what it is that you are actually asking for - you want the list filter-ordered (at full) and then split-paginated (on page)? Or you have the pagination in place, and it's ajax (renew list) one, and you want then the filter-sort applied to the particular page (list)? The result from filter-sorting could be substantially different between the two depending how's the query prepping them setup.
So, if you could take some time and clarify on the above, that would be great.
Regards,
Dobri