If you want to check in SQL when your databases was last back-upped (+ the type of back-up), you can execute the script below. this will list you everything of the last 7 days.
SELECT
CONVERT(CHAR(100), SERVERPROPERTY('Servername')) AS Server,
msdb.dbo.backupset.database_name,
msdb.dbo.backupset.backup_start_date,
msdb.dbo.backupset.backup_finish_date,
msdb.dbo.backupset.expiration_date,
CASE msdb..backupset.type
WHEN 'D' THEN 'Database'
WHEN 'I' THEN 'Differential database'
WHEN 'L' THEN 'Log'
WHEN 'F' THEN 'File/Group'
WHEN 'G' THEN 'Differential file'
WHEN 'P' THEN 'Partial'
WHEN 'Q' THEN 'Differential partial'
END AS backup_type,
msdb.dbo.backupset.backup_size,
msdb.dbo.backupmediafamily.logical_device_name,
msdb.dbo.backupmediafamily.physical_device_name,
msdb.dbo.backupset.name AS backupset_name,
msdb.dbo.backupset.description
FROM msdb.dbo.backupmediafamily
INNER JOIN msdb.dbo.backupset ON msdb.dbo.backupmediafamily.media_set_id = msdb.dbo.backupset.media_set_id
WHERE (CONVERT(datetime, msdb.dbo.backupset.backup_start_date, 102) >= GETDATE() - 7)
ORDER BY
msdb.dbo.backupset.backup_finish_date desc,
msdb.dbo.backupset.database_name
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