diff --git a/Doc/library/syslog.rst b/Doc/library/syslog.rst
index b5ab446e009..7b27fc7e85b 100644
--- a/Doc/library/syslog.rst
+++ b/Doc/library/syslog.rst
@@ -15,7 +15,7 @@ facility.
 
 This module wraps the system ``syslog`` family of routines.  A pure Python
 library that can speak to a syslog server is available in the
-:mod:`logging.handlers` module as :class:`SysLogHandler`.
+:mod:`logging.handlers` module as :class:`~logging.handlers.SysLogHandler`.
 
 The module defines the following functions:
 
@@ -107,22 +107,62 @@ The module defines the following functions:
 
 The module defines the following constants:
 
-Priority levels (high to low):
-   :const:`LOG_EMERG`, :const:`LOG_ALERT`, :const:`LOG_CRIT`, :const:`LOG_ERR`,
-   :const:`LOG_WARNING`, :const:`LOG_NOTICE`, :const:`LOG_INFO`,
-   :const:`LOG_DEBUG`.
 
-Facilities:
-   :const:`LOG_KERN`, :const:`LOG_USER`, :const:`LOG_MAIL`, :const:`LOG_DAEMON`,
-   :const:`LOG_AUTH`, :const:`LOG_LPR`, :const:`LOG_NEWS`, :const:`LOG_UUCP`,
-   :const:`LOG_CRON`, :const:`LOG_SYSLOG`, :const:`LOG_LOCAL0` to
-   :const:`LOG_LOCAL7`, and, if defined in ``<syslog.h>``,
-   :const:`LOG_AUTHPRIV`.
+.. data:: LOG_EMERG
+          LOG_ALERT
+          LOG_CRIT
+          LOG_ERR
+          LOG_WARNING
+          LOG_NOTICE
+          LOG_INFO
+          LOG_DEBUG
 
-Log options:
-   :const:`LOG_PID`, :const:`LOG_CONS`, :const:`LOG_NDELAY`, and, if defined
-   in ``<syslog.h>``, :const:`LOG_ODELAY`, :const:`LOG_NOWAIT`, and
-   :const:`LOG_PERROR`.
+   Priority levels (high to low).
+
+
+.. data:: LOG_AUTH
+          LOG_AUTHPRIV
+          LOG_CRON
+          LOG_DAEMON
+          LOG_FTP
+          LOG_INSTALL
+          LOG_KERN
+          LOG_LAUNCHD
+          LOG_LPR
+          LOG_MAIL
+          LOG_NETINFO
+          LOG_NEWS
+          LOG_RAS
+          LOG_REMOTEAUTH
+          LOG_SYSLOG
+          LOG_USER
+          LOG_UUCP
+          LOG_LOCAL0
+          LOG_LOCAL1
+          LOG_LOCAL2
+          LOG_LOCAL3
+          LOG_LOCAL4
+          LOG_LOCAL5
+          LOG_LOCAL6
+          LOG_LOCAL7
+
+   Facilities, depending on availability in ``<syslog.h>`` for :const:`LOG_AUTHPRIV`,
+   :const:`LOG_FTP`, :const:`LOG_NETINFO`, :const:`LOG_REMOTEAUTH`,
+   :const:`LOG_INSTALL` and :const:`LOG_RAS`.
+
+   .. versionchanged:: 3.13
+       Added :const:`LOG_FTP`, :const:`LOG_NETINFO`, :const:`LOG_REMOTEAUTH`,
+       :const:`LOG_INSTALL`, :const:`LOG_RAS`, and :const:`LOG_LAUNCHD`.
+
+.. data:: LOG_PID
+          LOG_CONS
+          LOG_NDELAY
+          LOG_ODELAY
+          LOG_NOWAIT
+          LOG_PERROR
+
+   Log options, depending on availability in ``<syslog.h>`` for
+   :const:`LOG_ODELAY`, :const:`LOG_NOWAIT` and :const:`LOG_PERROR`.
 
 
 Examples
diff --git a/Doc/tools/.nitignore b/Doc/tools/.nitignore
index 511648ab699..75d50fee33a 100644
--- a/Doc/tools/.nitignore
+++ b/Doc/tools/.nitignore
@@ -91,7 +91,6 @@ Doc/library/ssl.rst
 Doc/library/stdtypes.rst
 Doc/library/string.rst
 Doc/library/subprocess.rst
-Doc/library/syslog.rst
 Doc/library/tarfile.rst
 Doc/library/termios.rst
 Doc/library/test.rst
diff --git a/Misc/NEWS.d/next/Library/2023-12-07-16-55-41.gh-issue-87286.MILC9_.rst b/Misc/NEWS.d/next/Library/2023-12-07-16-55-41.gh-issue-87286.MILC9_.rst
new file mode 100644
index 00000000000..bfeec3c9520
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2023-12-07-16-55-41.gh-issue-87286.MILC9_.rst
@@ -0,0 +1,3 @@
+Added :const:`LOG_FTP`, :const:`LOG_NETINFO`, :const:`LOG_REMOTEAUTH`,
+:const:`LOG_INSTALL`, :const:`LOG_RAS`, and :const:`LOG_LAUNCHD` tot the
+:mod:`syslog` module, all of them constants on used on macOS.
diff --git a/Modules/syslogmodule.c b/Modules/syslogmodule.c
index 6a44850e291..62c7816f891 100644
--- a/Modules/syslogmodule.c
+++ b/Modules/syslogmodule.c
@@ -406,6 +406,30 @@ syslog_exec(PyObject *module)
     ADD_INT_MACRO(module, LOG_AUTHPRIV);
 #endif
 
+#ifdef LOG_FTP
+    ADD_INT_MACRO(module, LOG_FTP);
+#endif
+
+#ifdef LOG_NETINFO
+    ADD_INT_MACRO(module, LOG_NETINFO);
+#endif
+
+#ifdef LOG_REMOTEAUTH
+    ADD_INT_MACRO(module, LOG_REMOTEAUTH);
+#endif
+
+#ifdef LOG_INSTALL
+    ADD_INT_MACRO(module, LOG_INSTALL);
+#endif
+
+#ifdef LOG_RAS
+    ADD_INT_MACRO(module, LOG_RAS);
+#endif
+
+#ifdef LOG_LAUNCHD
+    ADD_INT_MACRO(module, LOG_LAUNCHD);
+#endif
+
     return 0;
 }