Step 1. Open the Apple ID site (https://appleid.apple.com) on the web.
Step 2. Log in with your Apple ID.

Step 3. On the trusted device, you'll be informed, please tap on "Allow".
Step 4. Type in the 6-digit code you received on the trusted device.
Step 5. Scroll down to "Security" section and click "Edit" option on the right.

Step 6. Select "Turn Off Two-Factor Authentication" and confirm again. If you are unable to change this, please contact support for next steps.
Step 7. You have to answer security questions to identify yourself. When done, click "Continue" to go on.

Step 8. After confirming your birthday information and recovery mail, the feature will be turned off.

Now, Two-Factor Authentication is off. Click the back button to get back to WebWatcher UI then go to "Active Devices" and select the Request Data button again.