WILL THIS BURN FROM A DVR?

If the TV is receiving its signal from a cable TV box or DVR then you need to find out if the problem is in the TV or the cable box/DVR. Connect a different source to your TV such as a DVD or Blu-ray player and play a DVD movie. If the problem occurs again it suggests the TV needs repair. If the TV works OK when playing a DVD movie then that suggests that your cable box/DVR needs repair or replacement.
If your TV is receiving its signal directly from an antenna or cable outlet on the wall then you should try replacing the cable wire from the wall to the TV with a new wire. If that doesn't help then your TV probably needs repair or replacement.

Open your left eye ...
OK, just kidding. If your TV or its remote control has a Reset button you can press it twice to reset the TV to original factory conditions (but you lose all customised picture and sound settings). If the TV receives its signal from a cable box or DVR, try connecting a different device such as a DVD or Blu-ray player and play a movie disc. If the problem on your TV screen still exists that suggests the TV needs repair or replacement. If the picture is OK when playing a DVD movie that suggests that your cable box or DVR is faulty and needs replacing (usually free from the cable TV company).

A DVD recorder, not connected to a computer, only can record movies.
If you have a DVD reorder connected to your PC, you need software, like NERO, to be able to write all the different codes needed to make a DVD a playable one for movie, audio or just files. (Data)

The Archos 404 attaches to the TV using either a DVR Station or a special AV cable. The AV cable uses a special small audio-style mini plug on one end to the standard red, white and yellow composite video connectors on the other.The docking station can record from and playback to the TV. The DVR Station 5 uses S-Video and red/white RCA plugs for connection to the TV. Optionally you can use the yellow/red/white composite connections instead. Hook it up similarly to a VCR, input from the cable box to the input of the DVR Station and output of the DVR Station to the input of the TV.

http://www.archos.com/support/download/manuals/connection_guide_dvr_station_v1.1.pdf
http://www.archos.com/support/support_tech/manuals.html?country=us&lang=en

If you have the DVR connected to the TV with the Coaxial and the HDMI that is probably causing the problem I work for a Cable company and have dealt with this problem on numerous occasions. Try just disconnecting the Coaxial cable from the cable box that should fix this issue.

turn off your cable box
turn off the dvr
disconnect cable box from wall outlet
disconnect dvr from wall outlet
unplug e-sata cable from dvr
replug e-sata cable back in to dvr
plug dvr into wall outlet
turn on dvr
plug in cable box to wall outlet
turn on cable box
wait for cable box to go completely thru startup procedure
...then try your list button again.

i dont know what kind of dvr you have, but mine has component terminals to plug my cable box in, and out plugs that go to the tv.

http://www.usersmanualguide.com/

see if theres a manual here

Not gonna happen. SA uses a proprietary file system. The USB is only designed for a keyboard or mouse when in a special diagnostics mode. The best you can do is use an eSata drive to the port on the back. IF you have the Mystro software on the box (most do) it won't even allow you to move programs to the storage drive until the box's drive is mostly full. Even then, I'm not sure that it gives you the option to choose what you want to offload.
You are best off buying a DVD burner (stand alone unit) or output the video to your PC. and re-encoding it to the file you want. Alternately, wait for the Series 4 TiVo with tru2way.
Sorry to be the bearer of bad news.

Connect the "Out to TV"video and audio on the DVR box to the "Video in and Audio In" on the VCR ...unless it's a single screw type connector on the DVR then hook THAT to the "In from ANT/cable" on the VCR