Verify request signatures or a SSL certificate - If the IDP supports encrypting and validating request signatures from Mautic to the IDP, generate a self signed SSL certificate. Upload the certificate and private key through Mautic’s Configuration → User/Authentication Settings under the Use a custom X.509 certificate and private key to secure communication between Mautic and the IDP. section. Then upload the certificate to the IDP.
So it seems this part is not mandatory, but if they support encryption then you need to generate the self-signed certificate and upload the private key in those parts.
I have read this documentation and follow it, I have used that to set it up, this item 5 you mension specially, was not enough to me, I suspected this may not be necessary, but even though its caused me doubts specially with usuing G Suite.
Assuming that the (3 - Private key and 4 - Private key encryption password) are not necessary the problem may be on G Suite setup.
Hi! @rcheesley, again thanks for your support, your guidance was very important to me.
Thanks a lot, with you help, I could solved it.
In order to help other people that may need it, I have made the screenshot bellow to clarify what was the steps done on G Site and Mautic in order to have it working.