The Carby Component Video Cable
The audio runs separately from the video using these via the analog port.
This is how Nintendo did it when they made these also.
The Carby, GCHD MK-II
The picture will look best with games that support Progressive Scan.
Usually, not always, the game will say on the back of the game case if it supports progressive scan.
When you start up your game hold down on B. Most progressive scan games need this feature enabled.
When you hold down B, if the game supports it, a menu will pop up asking if you want to play in progressive scan mode.
Using your remote.
You can watch a tutorial on pairing and using your remote here.