BIGIP unable to send tcp/udp packets to syslog servers

Hi CA_Valli, Thank you so much for taking time to respond. 

I have changed the virtual server type to use fastL4, attached is the screenshot of configuration. 

From my basiton host,  I am able to reach bigIP on VIP address (10.0.10.101) on port 5514 as expected. 

[ec2-user@ip-10-0-10-251 ~]$ nc -v -i 1 -w 1 10.0.10.101 5514
Ncat: Version 7.50 ( https://nmap.org/ncat )
Ncat: Connected to 10.0.10.101:5514.
Ncat: Idle timeout expired (1000 ms).

 Similarly from my BIGIP box, I am reach backend on port 5514 (syslog server port) 

[admin@failover01:Active:In Sync] ~ # nc -v -i 1 -w 1 10.0.12.112 5514
Ncat: Version 6.40 ( http://nmap.org/ncat )
Ncat: Connected to 10.0.12.112:5514.
Ncat: Idle timeout expired (1000 ms).
[admin@failover01:Active:In Sync] ~ # nc -v -i 1 -w 1 10.0.22.74 5514
Ncat: Version 6.40 ( http://nmap.org/ncat )
Ncat: Connected to 10.0.22.74:5514.
Ncat: Idle timeout expired (1000 ms).

The client information shows port translation works as expected now. 

[admin@failover01:Active:In Sync] ~ # tmsh show /sys connection cs-client-addr 10.0.10.251
Sys::Connections
10.0.10.251:60134  10.0.10.101:5514  10.0.10.11:60134  10.0.12.112:5514  tcp  0  (tmm: 1)  none  none
Total records returned: 1

 However, when I am using logger command to generate a log message manually from basiton host(ip-10-0-10-251). Targeting VIP configured on bigip : 10.0.10.101 

[ec2-user@ip-10-0-10-251 ~]$ while date "+INFO Syslog check for F5 BIGIP on HA mode %T" | logger -s -n 10.0.10.101 -P 5514; do sleep 1; done

<13>1 2022-12-20T12:03:27.277895+00:00 ip-10-0-10-251.ap-south-1.compute.internal ec2-user - - [timeQuality tzKnown="1" isSynced="1" syncAccuracy="6480"] INFO Syslog check for F5 BIGIP on HA mode 12:03:27
<13>1 2022-12-20T12:03:28.283155+00:00 ip-10-0-10-251.ap-south-1.compute.internal ec2-user - - [timeQuality tzKnown="1" isSynced="1" syncAccuracy="6980"] INFO Syslog check for F5 BIGIP on HA mode 12:03:28
<13>1 2022-12-20T12:03:29.286621+00:00 ip-10-0-10-251.ap-south-1.compute.internal ec2-user - - [timeQuality tzKnown="1" isSynced="1" syncAccuracy="7480"] INFO Syslog check for F5 BIGIP on HA mode 12:03:29

 Capturing Tcpdump on BIG IP box  doesn't show the any packets reaching bigip

#TCPDUMP command to check for traffic from the client to the VIP and from VIP to the backend pool members

[admin@failover01:Active:In Sync] ~ # tcpdump -nni 0.0:nnnp -s 0 host 10.0.10.101 and host 10.0.22.74

and 

[admin@failover01:Active:In Sync] ~ # tmsh show /sys connection cs-client-addr 10.0.10.251
Sys::Connections
Total records returned: 0

Any specific configuration is missing to cause this?

I want my syslogs to be sent to remote-server which in turn will be sent to kibana dashboard.

[admin@failover01:Active:In Sync] ~ # tmsh list sys syslog
sys syslog {
    remote-servers {
        remotesyslog1 {
            host 10.0.12.112
            remote-port 5514
        }
        remotesyslog2 {
            host 10.0.22.74
            remote-port 5514
        }
    }
}