Need to pull a report of protected servers along with job names for which the application aware processing is enabled

Try this code, as it will pull all jobs with AAP enabled.

# ============================================================
# Veeam 13 - Application-Aware Processing Report
# PowerShell 7 Compatible
# Lists all protected servers with AAP enabled per job
# ============================================================

# --- Load Veeam Module (PS7 compatible) ---------------------
$VeeamModulePath = "C:\Program Files\Veeam\Backup and Replication\Console"

if (-not (Get-Module -Name Veeam.Backup.PowerShell -ErrorAction SilentlyContinue)) {
    if ($env:PSModulePath -notlike "*$VeeamModulePath*") {
        $env:PSModulePath += [System.IO.Path]::PathSeparator + $VeeamModulePath
    }
    Import-Module Veeam.Backup.PowerShell -ErrorAction Stop
}

# Connect to the local Veeam server (change -Server if running remotely)
Connect-VBRServer -Server localhost -ErrorAction Stop

$report  = @()
$dateStr = Get-Date -Format "yyyyMMdd_HHmm"

# ============================================================
# PART 1: VM Backup Jobs (VMware / Hyper-V)
# ============================================================
Write-Host "[INFO] Processing VM Backup Jobs..." -ForegroundColor Cyan

# -WarningAction SilentlyContinue suppresses the Backup Copy job warning
$vmJobs = Get-VBRJob -WarningAction SilentlyContinue |
          Where-Object { $_.JobType -eq "Backup" }

foreach ($job in $vmJobs) {
    try {
        $vssOpts = Get-VBRJobVSSOptions -Job $job

        if ($vssOpts.Enabled) {
            $jobObjects = Get-VBRJobObject -Job $job |
                          Where-Object { $_.Type -eq "Include" }

            foreach ($obj in $jobObjects) {
                # Check for per-VM AAP override
                $aapStatus = "Enabled"
                try {
                    $objVss = Get-VBRJobObjectVssOptions -Object $obj -ErrorAction SilentlyContinue
                    if ($null -ne $objVss -and $objVss.Enabled -eq $false) {
                        $aapStatus = "Disabled (VM-Level Override)"
                    }
                } catch {
                    $aapStatus = "Enabled (override check skipped)"
                }

                $report += [PSCustomObject]@{
                    "Job Name"     = $job.Name
                    "Server / VM"  = $obj.Name
                    "Object Type"  = $obj.TypeDisplayName
                    "Job Type"     = "VM Backup"
                    "AAP Status"   = $aapStatus
                    "VSS Strategy" = if ($vssOpts.IgnoreErrors) { "Ignore Errors" } else { "Require Success" }
                }
            }
        }
    } catch {
        Write-Warning "Could not process VM job: $($job.Name) - $_"
    }
}

# ============================================================
# PART 2: Veeam Agent Backup Jobs (Physical / Computer)
# ============================================================
Write-Host "[INFO] Processing Agent Backup Jobs..." -ForegroundColor Cyan

try {
    $agentJobs = Get-VBRComputerBackupJob -ErrorAction SilentlyContinue

    foreach ($agentJob in $agentJobs) {
        try {
            $appOpts = $agentJob.GuestProcessingOptions

            if ($null -ne $appOpts -and $appOpts.AppAwareProcessingEnabled) {
                $computers = Get-VBRJobObject -Job $agentJob -ErrorAction SilentlyContinue

                if ($null -ne $computers -and $computers.Count -gt 0) {
                    foreach ($comp in $computers) {
                        $report += [PSCustomObject]@{
                            "Job Name"     = $agentJob.Name
                            "Server / VM"  = $comp.Name
                            "Object Type"  = "Computer"
                            "Job Type"     = "Agent Backup"
                            "AAP Status"   = "Enabled"
                            "VSS Strategy" = if ($appOpts.IgnoreErrors) { "Ignore Errors" } else { "Require Success" }
                        }
                    }
                } else {
                    # Protection group-based job — individual computers not resolvable here
                    $report += [PSCustomObject]@{
                        "Job Name"     = $agentJob.Name
                        "Server / VM"  = "(Protection Group - enumerate via Get-VBRDiscoveredComputer)"
                        "Object Type"  = "Protection Group"
                        "Job Type"     = "Agent Backup"
                        "AAP Status"   = "Enabled"
                        "VSS Strategy" = "N/A"
                    }
                }
            }
        } catch {
            Write-Warning "Could not process agent job: $($agentJob.Name) - $_"
        }
    }
} catch {
    Write-Warning "Get-VBRComputerBackupJob not available or no agent jobs found: $_"
}

# ============================================================
# Output Results
# ============================================================
if ($report.Count -eq 0) {
    Write-Host "[WARN] No jobs with Application-Aware Processing enabled were found." -ForegroundColor Yellow
} else {
    Write-Host "`n[RESULTS] Jobs with AAP Enabled ($($report.Count) entries):" -ForegroundColor Green
    $report | Sort-Object "Job Name", "Server / VM" | Format-Table -AutoSize

    $csvPath = ".\VeeamAAP_Report_$dateStr.csv"
    $report | Sort-Object "Job Name", "Server / VM" |
              Export-Csv -Path $csvPath -NoTypeInformation -Encoding UTF8

    Write-Host "[INFO] Report exported to: $csvPath" -ForegroundColor Green
}

Disconnect-VBRServer