Error while trying to connect to a published Service Application in SharePoint 2010: “Unable to connect to the specified address. Verify the URL you entered and contact the service administrator for more details.”

When you receive this error

Unable to connect to the specified address. Verify the URL you entered and contact the service administrator for more details.

…and you have done the exchange of farm certificates than you forgot this step:

$consumingFarmID=<Farm GUID of the consuming farm>

$security=Get-SPTopologyServiceApplication | Get-SPServiceApplicationSecurity

$claimprovider=(Get-SPClaimProvider System).ClaimProvider

$principal=New-SPClaimsPrincipal -ClaimType "http://schemas.microsoft.com/sharepoint/2009/08/claims/farmid" -ClaimProvider $claimprovider -ClaimValue $consumingFarmID

Grant-SPObjectSecurity -Identity $security -Principal $principal -Rights "Full Control"

Get-SPTopologyServiceApplication | Set-SPServiceApplicationSecurity -ObjectSecurity $security

(Technet: http://technet.microsoft.com/en-us/library/ff700211.aspx)

See the first line of the script:

$consumingFarmID=<Farm GUID of the consuming farm>

→ Here you need to execute this PowerShell code snippet and insert the resulting GUID in the script above:

(Get-SPFarm).Id