Make sure that the 5V power is connected as well as the FTDI adapter. In order to prevent the LEDs from drawing too much power from the FTDI adapter, the power 5V line from the adapter is not connected to the power of the Lumazoid, so you also need to have the main power connected.
(Sorry, I need to make that more clear in instructions.)
If you want, there is a jumper on the back of the board that you can solder so that the 5V line from the FTDI adapter IS connected to the Lumazoid.