OpenOnCurrentDesktop can move an app (or a single window of an app) to the current "virtual desktop", rider is a shortcut to OpenOnCurrentDesktop that calls and moves rider

Microsoft.PowerShell_profile.ps1

# Put the other files in C:\Users\{Your Windows-User}\Documents\WindowsPowerShell
# Attention! Don't overwrite your Microsoft.PowerShell_profile.ps1, 
# you may have entries here, it will be fine to add everything starting from line 6
# $PS_HOME may be defined already

$PS_HOME = Join-Path $HOME 'Documents\WindowsPowerShell'

$Commands = Join-Path $PS_HOME 'OpenOnCurrentDesktop.ps1'
. $Commands

$Commands = Join-Path $PS_HOME 'rider.ps1'
. $Commands

OpenOnCurrentDesktop.ps1

Function OpenOnCurrentDesktop
{
	# Needs https://github.com/MScholtes/PSVirtualDesktop
	Param(
		[string]
		$appPath,

		[string]
		$params = "",

		[string]
		$titleRegex = "",

		[int]
		$maxWaitInSeconds = 10
	)
    Process
    {
		if ([string]::IsNullOrEmpty($appPath))
		{
			Write-Host "Oeffnet die Applikation auf dem aktuellen Desktop (bzw. verschiebt es hierhin)"
			Write-Host "Usage:"
			Write-Host "Parameter 1: Pfad/Name zur Applikation"
			Write-Host "Parameter 2: Parameter der Applikation"
			Write-Host "Parameter 3: Regex des WindowTitles der Anwendung (zum Verschieben)"
			Write-Host "Parameter 4 (Optional, default=10): Maximale Wartedauer in s. Wenn das Fenster der Applikation bis dahin nicht gefunden wird, wird das Skript beendet"
			Write-Host "`nBeispiel: title xyz"
			return	
		}

		if ([string]::IsNullOrEmpty($titleRegex))
		{
			$titleRegex=[System.IO.Path]::GetFileNameWithoutExtension($appPath)
		}

		$currentDesktop = Get-CurrentDesktop

		&"$appPath" "$params"

		$waitCount = 0
		do 
		{
			if ($waitCount -lt $maxWaitInSeconds) {Start-Sleep 1}
			$handles = Find-WindowHandle * | Where-Object { $_.Title -match "$titleRegex" }
			if ($handles.Count -gt 1) {
				Write-Host "More than one title matches. Terminating here." -ForegroundColor Red
				$handles | ForEach-Object { Write-Host $_.Title }
				return 1
			}
			if ($handles.Count -eq 1 -and $null -ne $handles[0].Handle) {
				Move-Window -Desktop $currentDesktop -Hwnd $handles[0].Handle | Out-Null
				Switch-Desktop -Desktop $currentDesktop
				return
			}
			
			$waitCount = $waitCount + 1
		} until ($waitCount -ge $maxWaitInSeconds)
		
		Write-Host "No title matches after ${maxWaitInSeconds} s. Terminating here." -ForegroundColor Red
	}
}

rider.ps1

# Call with "rider {absolute-or-relative-solutionname}"
# searches in "C:\Program Files (x86)\JetBrains" your last rider version, a path variable (and change in this script will also be ok)

Function rider
{
	# Needs https://github.com/MScholtes/PSVirtualDesktop
    # Turn on setting: Settings | Appearance and Behavior | Appearance | Always show full paths in window header option.
    # Turn on setting: Settings | Appearance and Behavior | System Settings | Open project in new window
	Param(
		[string]
		$slnPath
	)
    Process
    {
        if ([string]::IsNullOrEmpty($slnPath)) {
			Write-Host "Oeffnet rider auf dem aktuellen virtuellen Desktop"
			Write-Host "Usage:"
			Write-Host "Parameter 1: relativer/absoluter Pfad zur Solution"
            return 1
        }

        $riderBasePath = "C:\Program Files (x86)\JetBrains"

        $lastRiderVersion = Get-ChildItem -Path $riderBasePath -Directory | Sort-Object -Property Name -Descending | Select-Object -First 1 -ExpandProperty Name
        $riderPath="${riderBasePath}\${lastRiderVersion}\bin\rider64.exe"
        
        if ( -not (Test-Path -Path "$riderPath" -PathType Leaf)) 
        { 
            Write-Host "Path $riderPath not a valid path" -ForegroundColor Red
            return 2
        }

        if ( -not (Test-Path -Path "$slnPath" -PathType Leaf)) 
        { 
            Write-Host "Path $slnPath not a valid path" -ForegroundColor Red
            return 2
        }

        $slnPath = Resolve-Path $slnPath
        $solutionNameWithoutExtension = [System.IO.Path]::GetFileNameWithoutExtension($slnPath)
        $windowTitle = Split-Path $slnPath
		$windowTitle = $windowTitle.Replace('\','\\');
        $windowTitle = "$solutionNameWithoutExtension.*$windowTitle"
        
        Write-Host "Starting ""$riderPath"" with solution-file ""$slnPath"" and window-title ""$windowTitle"""
        OpenOnCurrentDesktop "$riderPath" "$slnPath" "$windowTitle"
	}	
}

❗ Don't overwrite your Microsoft.PowerShell_profile.ps1 (see the comment in file)