We simply added the ldap-sync call to the list of jobs in /usr/local/bin/idoit-jobs, e.g. in the function execute

log "LDAP sync" eval "${prefix}${CONSOLE_BIN} ldap-sync --verbose --ldapServerId=1 $suffix" || \ abort "Command 'ldap-sync' failed"

The missing parameters to ldap-sync in the aboce command are taken from the $suffix variable.