Hi,
Can you check the content type Hub, what was earlier and what about new one?
See the link below to find how to navigate the content type hub, if you newly migrated then you need to create the content type hub for better management of your custom content type centralized.
http://sharepointpals.com/post/How-to-Use-Content-Type-Hub-in-SharePoint-2013
Secondly you can run the below script to get the ID and name of the content type, try to match and rename if you think it is same name.
$site = Get-SPSite -Identity http://RootSite/
$web = $site.OpenWeb("YourSite")
ForEach($ctype in $web.ContentTypes){write-host $ctype.Name": "$ctype.ID}
KRISHANA KUMAR
SharePoint Architect
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