Just a WAG, but have you ever considered the simple approach?
First off, are the inputs to the speakers a mono 1/4" plug? If so, all you need is a cheap mono 1/4" phone plug to female RCA phono jack adapter. From then on, all you need is a simple RCA plug/RCA plug cable.
I do believe a Tip/Ring/Sleeve configuration is used for a balanced connection, which it sounds like you ain't dealing with. The output of the DVD is most certainly unbalanced and, I believe, the input to the powered speaker is as well.
But, then again, if he speaker input is truly a balanced connectoin, then you need to convert tha TRS balanced input to an unbalanced one. Again, Check Rat Shack.