The quick fix I found was to uncomment line 10 in the init.d file. (This was tested on a CentOS 6.8 AWS instance.)

. /etc/rc.d/init.d/functions

This will allow the status command to function properly.

Clean install:

[centos@ip-172-31-51-59 ~]$ service elogd status
status: invalid option: -p
 

After uncommenting line 10:

[centos@ip-172-31-51-59 ~]$ service elogd status
elogd (pid  11438) is running...

When you start elog it still won't show that the service started successfully (No 'OK'). If you go to stop the service, it will give you the proper 'OK' indicating it stopped successfully.

So to fix the missing 'OK' (or 'FAILED') we need to update the start section around line 51 as follows:

          touch /var/lock/subsys/elogd
        echo_success
        else
        echo_failure
        fi
        echo
        ;;
 

I've attached my modified init file which I believe corrects the above issues. I will say though that I'm not a programmer so I won't guarantee it's perfect. I haven't checked to see if CentOS 7 works with this modified version. Just checked it on a CentOS 7.2 AWS instance and it also appears to function correctly.

[root@oceana ~]# systemctl status elogd
● elogd.service - SYSV: ELOG is a weblog with integrated database
   Loaded: loaded (/etc/rc.d/init.d/elogd)
   Active: active (running) since Sun 2016-09-18 22:35:44 UTC; 7s ago
     Docs: man:systemd-sysv-generator(8)
  Process: 2263 ExecStop=/etc/rc.d/init.d/elogd stop (code=exited, status=0/SUCCESS)
  Process: 2275 ExecStart=/etc/rc.d/init.d/elogd start (code=exited, status=0/SUCCESS)
 Main PID: 2277 (elogd)
   CGroup: /system.slice/elogd.service
           └─2277 /usr/local/sbin/elogd -D -c /usr/local/elog/elogd.cfg

Sep 18 22:35:44 oceana elogd[2277]: elogd 3.1.1 built Aug  4 20...0
Sep 18 22:35:44 oceana elogd[2277]: revision
Sep 18 22:35:44 oceana elogd[2277]: Falling back to default gro..."
Sep 18 22:35:44 oceana elogd[2277]: Falling back to default use..."
Sep 18 22:35:44 oceana elogd[2277]: CKeditor detected
Sep 18 22:35:44 oceana systemd[1]: Started SYSV: ELOG is a webl....
Sep 18 22:35:44 oceana elogd[2279]: Falling back to default gro..."
Sep 18 22:35:44 oceana elogd[2279]: Falling back to default use..."
Sep 18 22:35:44 oceana elogd[2277]: ImageMagick detected
Sep 18 22:35:44 oceana elogd[2277]: SSLServer listening on port....
Hint: Some lines were ellipsized, use -l to show in full.

The old SysV style commands ('service elogd start|stop|status') also function correctly.

[root@oceana ~]# service elogd stop
Stopping elogd (via systemctl):                            [  OK  ]
[root@oceana ~]# service elogd start
Starting elogd (via systemctl):                            [  OK  ]

#!/bin/sh

# chkconfig: 3 90 10
# description: ELOG is a weblog with integrated database
# processname: elogd
# config: /usr/local/elog/elogd.cfg
# pidfile: /var/run/elogd.pid

# Source function library.
. /etc/rc.d/init.d/functions

# Check for the config file
if [ ! -f /usr/local/elog/elogd.cfg ]; then
    exit 0
fi


# See how we were called.
case "$1" in
  start)
        if [ -f /var/run/elogd.pid ] ; then
	   pid=`cat /var/run/elogd.pid`
	   if [ -d /proc/$pid ] ; then
	     echo "elogd already running"
	     # echo_failure
	     exit 1
	   fi
	fi
        if [ -f /var/run/elogd.pid ] ; then
           rm -f /var/lock/subsys/elogd
	   rm -f /var/run/elogd.pid
        fi
	echo -n "Starting elogd: "
	/usr/local/sbin/elogd -D -c /usr/local/elog/elogd.cfg  > /dev/null 2>&1 
	RETVAL=$?
        if [ $RETVAL -eq 0  ] ; then 
          touch /var/lock/subsys/elogd
        echo_success
	else
	echo_failure
        fi
	echo
	;;
  stop)
     echo ""
      if [ -f /var/run/elogd.pid ] ; then
        echo -n "Stoping elogd: "
        /bin/kill `cat /var/run/elogd.pid`
        rm -f /var/lock/subsys/elogd
	rm -f /var/run/elogd.pid
        echo_success
        echo
     else
        echo -n "No elogd running?"
	echo
     fi
     
	;;
  status)
     status -p /var/run/elogd.pid /usr/local/sbin/elogd
     RETVAL=$?
        ;;
  restart|reload)
	$0 stop
	sleep 1
	$0 start
	;;
  *)
	echo "Usage: $0 {start|stop|status|restart}"
	exit 1
esac

exit 0