Take the RCA cables (the yellow, red, and white wires) and connect them from the input/output jacks marked "Video/Audio Out" on the back of the Time Warner cable box to the input/output jacks marked "Video/Audio In." Mach the color wires to the same color input jacks (white to white, yellow to yellow, red to red--in no specific order). Take note if the Video/Audio In on the DVD player has a number associated to it ("Video Input 2").
Check that the connection is correct by turning both the cable box and DVD player on, tune to any channel on the cable box, then switch to the TV input where you normally watch your DVD player/recorder. Change the source on the DVD recorder to whichever input you hooked the RCA cables. Whatever channel you tuned to on your cable box should be viewable on your TV through the DVD player/recorder showing on the corresponding DVD input.
Use your DVR remote to choose the recorded show that you want to record to a DVD. Press "Select" to access the Recorded Program Options screen.
Highlight "Copy to VCR" and press "Select" to enter the Copy To VCR screen.
Insert the blank DVD into the DVD recorder.
Set up the DVD recorder for a recording. Make sure the recording is the same length as the recorded show that you want to record to the DVD. Start the DVD record.
Press the "A" button on your cable remote to start the DVR playback of the show that you will be recording to the DVD.