Precisa de ajuda com este script SQL Server de auditoria de backup

Você precisa adicionar uma nova coluna às suas subconsultas para calcular o ROW_NUMBER()além do RANK(), para que possa corresponder as linhas com o mesmo ROW_NUMBER().

Além disso, você precisa alterar o LEFT JOINs para FULL JOINs:

WITH db
     AS (SELECT [Instance] = @@SERVERNAME,
                [Database] = name,
                [RecoveryMode] = DATABASEPROPERTYEX(name, 'Recovery'),
                [CreationTime] = crdate,
                [Status] = DATABASEPROPERTYEX(name, 'Status')
         FROM master..sysdatabases
         WHERE name != 'tempdb'),
lastfull
     AS (SELECT *
         FROM
         (
             SELECT [Database] = s.database_name,
                    --[Type]   = s.type,
                    [LastFullDate] = CONVERT( VARCHAR, s.backup_finish_date, 120),
                    --[LastFullSize]   = s.backup_size,
                    [LastFullDevice] = f.physical_device_name,
                    --[LastFullDevTyp] = f.device_type,
                    [Nrank] = RANK() OVER(PARTITION BY s.database_name ORDER BY s.backup_finish_date DESC),
                    [RN] = ROW_NUMBER() OVER(PARTITION BY s.database_name ORDER BY s.backup_finish_date DESC)
             FROM msdb.dbo.backupset s,
                  msdb.dbo.backupmediafamily f
             WHERE s.media_set_id = f.media_set_id
                   AND s.type = 'D'
         -- and f.device_type = 7 -- only backup devices
         ) f
         WHERE nrank = 1),
lastdiff
     AS (SELECT *
         FROM
         (
             SELECT [Database] = s.database_name,
                    --[Type]   = s.type,
                    [LastDiffDate] = CONVERT( VARCHAR, s.backup_finish_date, 120),
                    --[LastDiffSize]   = s.backup_size,
                    [LastDiffDevice] = f.physical_device_name,
                    --[LastDiffDevTyp] = f.device_type,
                    [Nrank] = RANK() OVER(PARTITION BY s.database_name ORDER BY s.backup_finish_date DESC),
                    [RN] = ROW_NUMBER() OVER(PARTITION BY s.database_name ORDER BY s.backup_finish_date DESC)
             FROM msdb.dbo.backupset s,
                  msdb.dbo.backupmediafamily f
             WHERE s.media_set_id = f.media_set_id
                   AND s.type = 'I'
         -- and f.device_type = 7 -- only backup devices
         ) d
         WHERE nrank = 1),
lastlog
     AS (SELECT *
         FROM
         (
             SELECT [Database] = s.database_name,
                    --[Type]   = s.type,
                    [LastLogDate] = CONVERT( VARCHAR, s.backup_finish_date, 120),
                    --[LastLogSize]   = s.backup_size,
                    [LastLogDevice] = f.physical_device_name,
                    --[LastLogDevTyp] = f.device_type,
                    [Nrank] = RANK() OVER(PARTITION BY s.database_name ORDER BY s.backup_finish_date DESC),
                    [RN] = ROW_NUMBER() OVER(PARTITION BY s.database_name ORDER BY s.backup_finish_date DESC)
             FROM msdb.dbo.backupset s,
                  msdb.dbo.backupmediafamily f
             WHERE s.media_set_id = f.media_set_id
                   AND s.type = 'L'
         -- and f.device_type = 7 -- only backup devices
         ) l
         WHERE nrank = 1)
SELECT db.[Instance] AS ServerName,
    db.[Database] AS DatabaseName,
    db.[RecoveryMode] AS ReconveyModel,
    db.[CreationTime] AS DBCreationTime,
    db.[Status] AS DatabaseStatus,
    ISNULL(CONVERT( VARCHAR, lastfull.LastFullDate), 'Never') AS LastFullBackupDate,
    ISNULL(lastfull.[LastFullDevice], 'None') AS LastFullBackupPath,
    ISNULL(CONVERT( VARCHAR, lastdiff.LastDiffDate), 'Never') AS LastDiffBackupDate,
    ISNULL(lastdiff.[LastDiffDevice], 'None') AS LastDiffBackupPath,
    ISNULL(CONVERT( VARCHAR, lastlog.[LastLogDate]), 'Never') AS LastLogBackupDate,
    ISNULL(lastlog.[LastLogDevice], 'None') AS LastLogBackupPath
FROM db
    FULL OUTER JOIN lastfull 
        ON db.[Database] = lastfull.[Database]
    FULL OUTER JOIN lastdiff 
        ON db.[Database] = lastdiff.[Database]
        AND lastfull.RN = lastdiff.RN
    FULL OUTER JOIN lastlog 
        ON db.[Database] = lastlog.[Database]
        AND lastfull.RN = lastlog.RN;

alternativamente à resposta de spaghettidba , tenho usado este script, ele não possui tantas informações, mas pode ser adicionado se necessário.

parece ser mais rápido e você pode especificar se deseja que os backups completos ou de log sejam mostrados.

usei-o principalmente para descobrir essas perguntas: temos um backup, onde está, qual é o tamanho e quanto tempo geralmente leva para fazer o backup.

declare  @backup_type CHAR(1) = 'D' --'D' full, 'L' log
                ;with Radhe as (
                    SELECT  @@Servername as [Server_Name],
                    B.name as Database_Name, 
                    ISNULL(STR(ABS(DATEDIFF(day, GetDate(), MAX(Backup_finish_date)))), 'NEVER') as DaysSinceLastBackup,
                    ISNULL(Convert(char(11), MAX(backup_finish_date), 113)+ ' ' + CONVERT(VARCHAR(8),MAX(backup_finish_date),108), 'NEVER') as LastBackupDate
                    ,BackupSize_GB=CAST(COALESCE(MAX(A.BACKUP_SIZE),0)/1024.00/1024.00/1024.00 AS NUMERIC(18,2))
                    ,BackupSize_MB=CAST(COALESCE(MAX(A.BACKUP_SIZE),0)/1024.00/1024.00 AS NUMERIC(18,2))
                    ,media_set_id = MAX(A.media_set_id)
                    ,[AVG Backup Duration]= AVG(CAST(DATEDIFF(s, A.backup_start_date, A.backup_finish_date) AS int))
                    ,[Longest Backup Duration]= MAX(CAST(DATEDIFF(s, A.backup_start_date, A.backup_finish_date) AS int))
                    ,A.type
                    FROM sys.databases B 

                    LEFT OUTER JOIN msdb.dbo.backupset A 
                                 ON A.database_name = B.name 
                                AND (@backup_type IS NULL OR A.type = @backup_type  )

                    GROUP BY B.Name, A.type

                )

                 SELECT r.[Server_Name]
                       ,r.Database_Name
                       ,[Backup Type] = r.type 
                       ,r.DaysSinceLastBackup
                       ,r.LastBackupDate
                       ,r.BackupSize_GB
                       ,r.BackupSize_MB
                       ,F.physical_device_name
                       ,r.[AVG Backup Duration]
                       ,r.[Longest Backup Duration]

                   FROM Radhe r

                    LEFT OUTER JOIN msdb.dbo.backupmediafamily F
                                 ON R.media_set_id = F.media_set_id

                    ORDER BY r.Server_Name, r.Database_Name