The confirmation of successful network connection is LED going past blinking green into blinking cyan and then into slow pulsing cyan (when successfully connected to the server).
Please try re-adding your Garadget to the account, this will update the WiFi credentials on it.
Here's the excerpt from the troubleshooting guide:
LED is fast blinking green
Garadget is unable to connect or login to the WiFi network. Confirm WiFi network password by logging in from another device. Restart the setup process with the correct WiFi password.