I believe when you refresh or re-start the Replication Services from Prod Replication VAMI it should change the correct state VM Replication.
To resolve this perform these below steps at Prod Replication Site before that you may try Replacing Replication certs to check that if that helps, From the VAMI page re-generated the certificates using generate and install option the Save & Restart > then Restart the vCenter Server & vSphere Web Client Services > Try Authenticating the Sites, If no go then use these below steps, finally if it does not fix the issue re-install replication at Prod Site.
> Unregister the affected Site Replication Server appliances with their vCenter's by logging into vSphere replication appliance vami :5480 page.
> Remove the Replication from vCenter Server Mob -- unregister vSphere replication with vCenter MOB by using KB https://kb.vmware.com/s/article/1025360
1) Login to vCenter/mob from browser.
2) Select "content".
3) Select"ExtentionManager".
4) Select"UnregisterExtension". (Open new window)
5) Input "com.vmware.vcHms" to "VALUE" and clieck "Invoke Method".
6) Close new Diaglog Box.
7) Close Extention Manager Window for vCenter Server.
8) Restart vCenter Server & Web Client Services
> Remove the solution user for vSphere replication by logging into vSphere web client administration > >User & groups > >Solution users.
1. Log in to the vSphere Web Client as administrator@vsphere.local or as any another user with vCenter Single Sign-On administrator privileges.
Users with vCenter Single Sign-On administrator privileges are in the Administrators group in the vsphere.local domain.
2.Click Home, and browse to Administration > Single Sign-On > Users and Groups.
3.Click the Solution Users tab, and click the solution user name.
4.Click the Delete Solution User icon.
5.Click Yes.
> Restart the corresponding vCenter Server & vSphere Web Client Services
> Login to vSphere Replication VAMI page and then re-register it again, This should create a fresh solution user for vSphere solution user
Note: Removing the association of Replication from vCenter Server MOB does not make a serious impact vCenter creates a Snapshot of vCenter Server & Replication to be on the safer side.