Your iPod touch features the ability to export all the videos, pictures and audio from the device's hard drive to external devices such as your LG TV. Use an Apple Digital Adapter to connect the port on the bottom of the iPod to the input panel of your TV or other display. The connection will only take a second or two, and you don't have to install any additional apps to the iPod touch to make the connection.
Plug the Apple Digital adaptor into the port on the bottom of the iPod touch.
Insert one end of the HDMI cable into the port on the adaptor.
Plug the other end of the cable into the "HDMI IN" port on the input panel of your LG TV.
Play a video on the iPod touch and press the "Input" button on the TV until image from the iPod appears on the TV's screen.