After doing some more research, I found that it would be smarter to use

 Get-AzRecoveryServicesBackupJob

By:

1. Initializing a variable to equal a single vault:

   $var = Get-AzRecoveryServicesVault -ResourceGroupName "\<your resource group name\>" -Name "\<your vault name\>"
   

2. And then calling Get-AzRecoveryServicesBackupJob with the corresponding Vault Id

   $list = Get-AzRecoveryServicesBackupJob -VaultID $var.ID
   

3. To display, you'd just call the array

       $list 
   

   and it would show you all of the completed, failed, and in progress backups