Upgrade LED lighting

I'm looking to replace the existing LED ceiling light since it is too far away from the vanity/mirror. I bought a residential pennant style light fixture with a 12 volt energy efficient light bulb and connected the fixture to the two 12 volt wires ( black & white )that I had disconnected from the existing LED light. The new light did not work, is it possible that the new light bulb won't work on DC or that the ground wire from the new light fixture is not connected since there are only 2 wires in the ceiling ?

Question; try a different 12 volt Med base light build designed for 12volt DC or put up with the existing lighting. There is no option to convert to 110 volt without tearing open the ceiling and walls to run new wiring.

Thanks for any assistance.