the method that worked best for me, for the 3 ribbon cables i had to fit through the hinge, was to get a piece of tape and take some of the stickiness away, just touch it on your shirt etc.
then stick the tape to/around the ribbon cables, bunching them up to make them small and tight enough to fit through the hole. and have tape coming off it, like a 'tail'.
then feed the tape 'tail' though the hinge and pull, it worked great for me, i wish i thought of it sooner.
there might be better ways but it was much better than doing it without.