Your Organization Could Not Sign you into this Service.
I ran across this error when I was troubleshooting for a client. They are using TMG 2010 to publish ADFS to the internet. When I checked the logs on the ADFS server, I can see that the client is hitting the ADFS server and that Authentication is successful.
The resolution for this case was to verify the setup of the TMG server. Use my BLOG post for the correct settings.
Microsoft has also noted that there can be additional issues with the same error message. They published these KB articles to address the issue.
“Your organization could not sign you in to this service” error and “80041317” or “80043431” error code when a federated user tries to sign in to Office 365
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Office 365 MVP