From the manual for your TV,
Unless your laptop has a HDMI port on it you need to use the VGA cable you have, and instead of the audio cable you posted you need one with the 3.5 MM jacks on both ends, not one with split RCA ends.
A cable/adapter like that will only work if the VGA port on the computer/video card is configured to also support TV out, and very few if any (more like none) video cards have a VGA port that works like that anymore. If it isn't then that adapter will not work for anything.