Looks like each cable and pair of buttons provides a standard '3 wire remote' for a contactor. Since old colour code mains cable has been used I wouldn't wish to hazard a guess as to what colour goes where, or even if they are consistent between the two sets!
NC button should be in series with the contactor stop button, NO button in parallel with contactor start button.
Should be simple to anyone familiar with wiring contactors – plenty of generic information around, but if in any doubt call an electrician – better safe than sorry.