Fowler is right, the color of those 3 cut wires confirm they went to the "TO-Sensor".
I found a bit of info at the gixxer forum mentioning some type of '150-ohm bypass test' you could research, but I'd suggest you simply purchase a replacement TO-Sensor and wire it up like the bike organically had.
(I found credible info stating: If the TO sensor circuit isn't functioning correctly, It'll throw a #23 trouble code)
The wiring schematic shows the black wire goes to the center position of this sensors plug, so I'd try doing a google image search (for this sensor) to hopefully find pics showing the location of where the 2 outside wires originally connected to this sensor. (DON'T just guess where those 2 connect!)
I would not try bypassing this sensor by simply connecting 2 or 3 of the wires together, unless you can find credible info/instructions. The black wire goes directly to the ECM. The other 2 wires (red & blk-brown) T-off and are shared by several other sensors. So If you start guessing and connect something wrong, you could easily end up damaging the ECM and/or causing all kinds of other problems/damage...