Stand at the machine, so that the X axis is moving left to right.
When you jog in the X+ direction, the spindle should move to the right, and the DRO's should be counting up. The toolpath display should also show movement from left to right.
When you jog the Y axis, the spindle should move away from you, with the DRO's counting up. And again, the toolpath should match.
This assumes a moving gantry type machine, where the spindle is moving.
When questions like this come up, 99.9% of the time, the issue is the machine is setup with one or more axis moving the wrong way, even though the user thinks it's right.