Your best bet would be another DVD player with those six analog audio outputs.
Those DVD players with internal decoders and analog outs were popular in the early days of DD and DTS when receivers were being offered "in anticipation" of these as yet to be introduced formats and only had the six analog inputs on the back, no internal decoders. since DDand DTS have become commodities in the marketplace, the need for DVD players to handle this task dwindled and I'm not too sure it's still available, or at least common.
Your new DVD player offers two pairs of stereo analog outputs, both coaxial and toslink digital outs (which are made to go to a receiver for decoding, and a pretty full range of video outs (component, S-video and yellow lack composite)
...but it has no 5.1 analog outputs which you need.
Short of finding another DVD player with those same outputs, you're limited to the stereo signal from the red/white jacks. I really don't know if these are too common anymore and I strongly doubt any DVD recoreders have them, but you might want to look around, though.
But, an inexpensive universal player might work. They requirte analog outs for SACD, DVD-Audio and, I believe many decode DD and DTS internaly as well, but you mightwant to verify this.
Another option is a receiver with preamp outs but that may not be a cost effective solution.
good luck...