The Wii Remote lights should go from flashing to one single solid light.
If that didn't work, then reset the Wii. Turn off your Wii and unplug the power cable and all other cables from Wii. Then remove the batteries from the controllers and put them back in. Connect everything back and turn on your Wii and also the controllers. Now press and hold the Sync button on the Wii (not the Wii Remote) for 20 seconds to reset it. Then press the Sync button on your controller for 2 seconds and then again the Sync button on Wii for 2 seconds.
Please let me know if that didn't work, so we can continue troubleshooting.