Ad group Member validation

Wanted to check if user is a part of an AD group
Script should help to get info for multiple users at once

Below script is not working as its shows do not exists even if the user is a part of the group:

$user = "xxxxxx"
$group = "xxxxxxxxxx"
$members = Get-ADGroupMember -Identity $group -Recursive | Select -ExpandProperty Name

If ($members -contains $user) {
      Write-Host "$user exists in the group"
 } Else {
        Write-Host "$user not exists in the group"
}