Open powershell console in your desktop, use your server name, instance name, user name and password. You can customize this script, like out put the result into a .txt format by using | out-file “Path\fileName.txt” or use other parameter like “recovery model”
I got help regarding tip from http://www.mssqltips.com/sqlservertip/1784/check-the-last-sql-server-backup-date-using-windows-powershell/
[System.Reflection.Assembly]::LoadWithPartialName('Microsoft.SqlServer.SMO')| out-null
$srv = new-object ('Microsoft.SqlServer.Management.Smo.Server') "ServerName\InstanceName"
$srv.ConnectionContext.LoginSecure=$True;
## If Using SQL Authentication
##$srv.ConnectionContext.LoginSecure=$False;
##$srv.ConnectionContext.set_Login("UserName");
##$srv.ConnectionContext.set_Password("PassWord")
$srv.Databases | select name, recoverymodel, lastbackupdate, lastlogBackupDate | ft -Wrap –AutoSize
this 
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