The luminette manual says to place the nose piece above the nose piece of my glasses, but when I do this, the unit ends up high above my eyes. I need to place it below the nose piece of my glasses to get the light into my eyes.

Is this the case for anyone else, or am I doing something wrong?

Try adjusting the position of the luminette a little and tilting it a little so that the device is pointing the light into your eyes instead of just standing straight up. This will allow the light to hit the right spot and you will feel like the light is hitting your eyes directly instead of just bouncing off your glasses.

Try adjusting the angle a little. Maybe you should loosen the glasses a little or, on the contrary, press them tighter. You can also check if they sit too high on the bridge of your nose.