Find command is enough to do this process...

For example: If some files are modified in test1 user's Desktop, use the following command.

# find /home/test1/Desktop -cmin -60

This command will give the modified files for last 60 minutes, for days just change it to -ctime and mention the days.

To find and delete with the same command, use below

# find /home/test1/Desktop -cmin -60 -exec rm -f {}\;