Following boolean allows that kind of access, but it also allows read-write access to all files / directories on the file-system, which might be a security problem:

 * rsync_full_access

# sesearch -s rsync_t -t auditd_etc_t -c file -p getattr -A -C
Found 1 semantic av rules:
DT allow rsync_t non_auth_file_type : file { ioctl read write create getattr setattr lock append unlink link rename open } ; [ rsync_full_access ]

# sesearch -s rsync_t -t default_context_t -c file -p getattr -A -C
Found 1 semantic av rules:
DT allow rsync_t non_auth_file_type : file { ioctl read write create getattr setattr lock append unlink link rename open } ; [ rsync_full_access ]

# sesearch -s rsync_t -t semanage_store_t -c file -p getattr -A -C
Found 2 semantic av rules:
DT allow rsync_t non_auth_file_type : file { ioctl read write create getattr setattr lock append unlink link rename open } ; [ rsync_full_access ]
DT allow rsync_t semanage_store_t : file { ioctl write create getattr lock append open } ; [ rsync_full_access ]

# sesearch -s rsync_t -t semanage_store_t -c lnk_file -p getattr -A -C
Found 1 semantic av rules:
DT allow rsync_t non_auth_file_type : lnk_file { ioctl read write create getattr setattr lock append unlink link rename } ; [ rsync_full_access ]

#

This bug was accidentally moved from POST to MODIFIED via an error in automation, please see mmccune with any questions

Since the problem described in this bug report should be
resolved in a recent advisory, it has been closed with a
resolution of ERRATA.

For information on the advisory, and where to find the updated
files, follow the link below.

If the solution does not work for you, open a new bug report.

https://rhn.redhat.com/errata/RHBA-2016-2283.html