You can try to rsync the files again by using `rsync` tool:

    $ rsync -autN /source/* /destination

or (if there are too many files):

    $ find /source/ -name \* -type f -exec rsync -atN {} /destination/ ";"

Here are the arguments:

    -a, --archive               archive mode; equals -rlptgoD (no -H,-A,-X)
    -u, --update                skip files that are newer on the receiver
    -t, --times                 preserve modification times
    -N, --crtimes               preserve create times (newness)

If this won't help, try without `-u`.