What do you mean by "picture put back to film"? It's already on film -- it's always been on film. You're just cutting a video transfer of the film.
Do you mean a digital intermediate where a digital scan is recorded to film?
Are you asking how you sync the final sound mix to picture when you edited using 60i NTSC transfers of 24 fps material, and cut the sound to that video copy, and then cut the negative to match the video edit?
A lot of it has to do with cutting in a 24-frame environment, basically by eliminating the 3:2 pulldown in the NTSC transfers in order to get back to the true frames.
The only sync issues come from the fact that NTSC transfers slow the film speed down from 24 fps to 23.976 fps, so once the sound has been edited and even mixed at 23.976 fps because the sound people are working with NTSC copies of the final cut, at some point the speed has to be adjusted to match the 24 fps film.
Sometimes they will make a silent answer print off of the cut negative, take it to a mix stage, and see how it syncs with the final sound mix so they can adjust the sync if necessary. Then the final mix is set in some form or another to the company making the sound negative used to put the soundtrack on the print.
We're getting to a point where you need to read some textbooks to answer these questions more thoroughly.