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The main problem is that you are too close to the background for this to work with two lights.
If you have to be that close and only have two lights, then I think your easiest solution would be to take two shots and merge them in Photoshop (or whatever PP software you use).
One shot of the subject, with the lights the way they are now. Then without moving camera position, the second shot without the subject with the lights set up as you would for art repro: both lights the same distance from the BG at equal power and same reflectors, at about 45° to the BG, the left light feathered so that it is directed to the right edge of the frame, the right light aimed at the left edge of the frame.
It should be a really easy job in PS.