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From what I'm aware of, there is no way of overcoming this issue other than leaving the DVD recorder in its powered-on state when you stop the playback of a disc. On the other hand, the running cost of leaving a DVD recorder on overnight is only a few cents of electricity.
The ability to resume playback of a DVD depends on if the manufacturer offers the capability. For example, my NeoDigits upscaling DVD player will resume the playback of a DVD even if the disc been removed from the player or has been unplugged.