TeeKay:
The published sources on this fight are short on details for the German side. In "Bloody April, Black September" by Franks, Guest, and Bailey there are only two known casualties listed that are offered as possibilities. The 2 seater may have been from FA 36, and one of the Fokkers may have been a Jasta 13 pilot who took to his parachute.
This is the date of
Joe Wehner's loss while covering Luke. Georg von Hantelman of Jasta 15 is identified as the pilot who downed Wehner, in "The Jasta War Chronology."
So with either Jasta 15 or Jasta 13 as foes, you have colorful opponents.
There are two photos of the LVG in Alan Durkota's book "Medal of Honor Aviators of World War One." It is identified as an FA 36 machine, and appears to be a factory standard lozenge covered LVG CVI, though it's hard to tell since it is very broken up. One of the photos shows Luke standing alongside the wreckage.