Keyboard light hotkey (Fn + F3 and F4) rarely work on an Asus G60J
Solution 1:
You can manually set the brightness value (between 0 and 3) of the keyboard with the file:
/sys/class/leds/asus::kbd_backlight/brightness
The simplest is first to give you the right to modify it:
sudo chmod 777 /sys/class/leds/asus::kbd_backlight/brightness
And then change the value, for instance to turn it on:
echo 3 > /sys/class/leds/asus::kbd_backlight/brightness
Or turn it off:
echo 0 > /sys/class/leds/asus::kbd_backlight/brightness
You can set a global shortkey (eg Fn + F3 or F4) for those commands, I'm on KDE then cannot help you for this, just have a look on the settings.
(Note: Maybe the maximum value is not 3 in your case, have a look at /sys/class/leds/asus::kbd_backlight/max_brightness
.)