Active Directory Group Management

That module just provides some standard functions wrapping the AD Cmdlets. You can see the source here:

github.com
It doesn’t provide any code for distribution lists. I actually haven’t don’t much exchange coding, but you should be able to list distribution lists by user.

learn.microsoft.com
For example, this would list the current user’s distribution lists they manage.

# User is special variable with the current user in an app
$DistributionList = Get-DistributionList -ManagedBy $User
New-UDTable -Data $DistributionList

Using cmdlets like Get-DistributionListMember and Remove\Add-DistributionListMember, you could also view and update who are in those groups.