Pro tools is an industry standard audio editing and mixing platform but this process is pretty agnostic and will work with any platform. Specifics might be different though.
First you need to export the audio from your video project to bring into protools. A good format for this is OMF. You do not want to just mixdown the audio into a wav file because you need your tracks to be independent to put different eqs and effects where you need them. Also make sure that you put sufficient handles on your material to allow for crossfades and extending of clips. I like to have 5 second handles but less can work as well. You should also put a pop at the beginning AND the end of your audio so you can check sync and drift later on.
To import OMF into protools you need to enable digitranslator, which costs in the range of $500. This will allow a complete one step import and placement of your audio on separate tracks.
Once you complete your work simply mix down into a wav file and reimport into your video NLE. Check that your pops line up and you will be good to go.