I think you have to enable Anonymous access and use role-based home pages. The default page for anonymous users is the login page with the 2 login buttons. After authentication, the user will be assigned a role and directed to the designated home page.
Hey Sangitkumar,
You can use modules like SAML or OIDC to have different login related with your identity authenticator.
Take a look at this doc: OIDC SSO | Mendix Documentation
This documention teaches you how to config the OIDC and how to have multiple buttons with different logins.
If this answer helped you, mark as accept :)
Best Regards,
Ricardo Pereira