Determining Database Restore Date
It's a bit difficult to determine exactly what you want from the way your question is worded, but it sounds like this post may give you the needed information

Identify when a SQL Server database was restored, the source and backup date

From the post:


  After restoring a database your users will typically run some queries
  to verify the data is as expected. However, there are times when your
  users may question whether the restore was done using the correct
  backup file. In this tip I will show you how you can identify the
  file(s) that was used for the restore, when the backup actually
  occured and when the database was restored.


Here's the script from that post:

SELECT [rs].[destination_database_name]
    ,[rs].[restore_date]
    ,[bs].[backup_start_date]
    ,[bs].[backup_finish_date]
    ,[bs].[database_name] AS [source_database_name]
    ,[bmf].[physical_device_name] AS [backup_file_used_for_restore]
FROM msdb..restorehistory rs
INNER JOIN msdb..backupset bs ON [rs].[backup_set_id] = [bs].[backup_set_id]
INNER JOIN msdb..backupmediafamily bmf ON [bs].[media_set_id] = [bmf].[media_set_id]
ORDER BY [rs].[restore_date] DESC