Try and get a donor cable (transmission end), and put back together into your frayed end. But you could actually save yours with a little TLC and use a solder-gun, a bit of shrink tube...as you already have the specific male ends. These ends readily push into the Rev-light switch (use a tiny screwdriver), and sit in the switch snug. Get crafty with a small rubber dust boot (Grainger or McMaster) and done.
@Garoldshaffer or
@Bdstone914 might have the cable end.