Group Policy creation using powershell - help

I am creating role based access for users / admins on member servers. Below listed  AD groups will be present in the active directory.

- A Domain Security Group (List of Users) - Role1_UserGroup, Role2_UserGroup, Role3_UserGroup...... Role500_UserGroup

- A Domain Security Group (List of Servers) - Role1_hostgroup, Role2_hostgroup, Role3_hostgroup...... Role 500_hostgroup

I need to use group policy to add these Domain Users group (Role#_UserGroup) to the member servers listed under Role#_hostgroup. This needs to be completed using via group policy and GPO needs to be created programmatically (Power Shell).

So,

Input of the script will be Role name - Role1

The script should create a GPO named "Role1" to add users from "Role1_UserGroup" to the "Remote Desktop Users" group on all member servers listed in the "Roe1_HostGroup".
Also, create a local group "Role1_LocalUsers" and add "Role1_UserGroup" domain group to the local group.

I have achieved this using power shell script (see below script. Thanks to everyone for posting scripts. I copied part of the script from the forum). Now, I need to do same thing using GPO and create GPO programmatically.

I am unable to find any options of creating GPO programmatically. Appreciate if anyone could help me.

Here is my script. This is not a very professional looking script but it works
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$Group = Read-Host "Write the name of the group to be created"


#Initaliaze the Domain Group Object
$DomainGroup = [ADSI]"WinNT://Lab.local/${Group}_Usergroup,group"

#Get-ADGroupMember ${Group}_hostgroup  | Select-Object Name | Out-File C:\temp\Scripts\${Group}_hostgroup.txt
Get-ADGroupMember ${group}_hostgroup | Select-Object Name -ExpandProperty Name | Out-File c:\Temp\${Group}_hostgroup.txt

#Read from text file
$computers= Get-Content C:\temp\${group}_hostgroup.txt

#Name the LogFile and Initialize it
$LogFile = "c:\Logs\${Group}_log.txt"

New-Item $LogFile -type file -force

ForEach ($computer in $computers) #Loop through each server

{

$computer
$computer>>$LogFile

$objOu = [ADSI]"WinNT://$computer"

$objUser = $objOU.Create("Group", "${group}_HostGroup")

$objUser.SetInfo()

$objUser.description = "${group} Group"

$objUser.SetInfo()

Start-Sleep -s 5

#Get Local Group object
    $LocalGroup = [ADSI]"WinNT://$Computer/${group}_HostGroup,group"
 
    #Assign DomainGroup to LocalGroup
    $LocalGroup.Add($DomainGroup.Path)

#Determine if command was successful
    If (!$?) #Add failed
    {
        $Server + " fail: " + $Error[0]>>$LogFile
        "">>$LogFile
    }
    Else #Add succeeded
    {
        $Server + " success">>$LogFile
        "">>$LogFile
        $Server + " success"
    }


   }

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