foreach ($obj in $Objects[0..2]) {
    Set-Location "$($Paths[0])\$($obj.Name)"
    $Out += (Get-ChildItem -Recurse | Sort-Object LastAccessTime -Descending)[0]
    (ls -Recurse | sort lastaccesstime -Descending | select lastaccesstime,lastwritetime,name)[0]
}

$Paths = "\\rdfs01\RDSUserProfile$","\\rdfs01\RDSUserFolders$"

$Objects = Get-ChildItem $Paths[0] | Where-Object {$_.name -NotMatch "^_"}
$Objects = $Objects | Where-Object {$_.name -NotMatch "^!"}

$Out = @()

foreach ($obj in $Objects) {
    (Get-ChildItem "$($Paths[0])\$($obj.Name)" -Recurse | Sort-Object LastAccessTime -Descending)[0]
}