Will a Toshiba DVD recorder work on an lg tv?

Short answer: Yes

Longer answer: The DVR doesn't "work on" a TV - it connects to the signal source (cable, antenna, dish) the same as a TV, and it has its own tuner.

Depending on the TV and the DVR, there are several options for connecting the two devices. Probably the easiest to use is HDMI, which carries audio and high-definition video on a single cable. Most new DVRs and TVs have HDMI ports.