I've never heard of a DVD player that honors Cinavia. What make and model is this?
Cinavia detection is normally found on Blu-ray players introduced to the market since February of 2012. And it is also detected by the Blu-ray software players that have AACS accreditation, such as Arcsoft TMT 6, or PowerDVD 13.
AnyDVD can suppress Cinavia detection in some of the software players, though this is a game of whack-a-mole, as the player software is adjusted to compensate, then Slysoft cracks it again.
If your DVD player can accept mp4 or avi files, you can try converting to those formats and see if the Cinavia is detected. I would suggest Vidcoder to convert to H264 mp4, or Video to Video as a program for conversion to Xvid avi.