Add-PSSnapin Microsoft.SharePoint.PowerShell -ErrorAction SilentlyContinue
$ssa = Get-SPEnterpriseSearchServiceApplication
Get-SPEnterpriseSearchMetadataManagedProperty -SearchApplication $ssa | Where {$_.Name -Match "Test"}
Get-SPEnterpriseSearchMetadataMapping -SearchApplication $ssa | Where {$_.CrawledPropertyName -Match "Test"} This code is for get Managed Properties in SharePoint 2013 Using PowerShell.
