Why are two of the wires in my ignition switch showing reversed continuity?
You cannot make correct continuity / resistance measurements with the DMM terminals / test leads connected to anything else that can provide voltage (and therefore current) - for example, the motorbike's battery. Doing so will interfere with the DMM readings, as the DMM uses an internal source (often a small constant current) to be able to measure resistance.
Therefore you must disconnect the switch before making continuity readings. Or, if you understand the motorbike's wiring well-enough, you might be able to make voltage readings with the switch &quot;in situ&quot; and determine continuity from those, using your knowledge of the wiring.