An absolute pressure sensor is otherwise known a MAP sensor. A bad one could give too rich or too lean running, depending on how it failed.
This is general info, as I haven't worked on that model of bike:
There should be a tube going from the sensor to the engine. It could be disconnected or damaged, causing symptoms of a bad sensor. To check the sensor, measure voltages at the three pins. One should be +5v, the other 0v, and the sensor output will vary with vacuum. Measure the sensor output while revving the engine. When you gas it, initially the voltage reading will go one way, when you release the throttle, the voltage will go the other way. If you see no voltage change at all --> sensor is bad. (or tube is disconnected or holed.)