DOCSP-35881 Atlas support for Authentication methods (#6120)

Co-authored-by: pierwill <pierwill@users.noreply.github.com>

Author: pierwill

source/reference/method/db.auth.txt

@@ -26,6 +26,21 @@ Definition
 
       .. include:: /includes/extracts/4.4-changes-passwordPrompt.rst
 
+
+Compatibility
+-------------
+
+.. |command| replace:: method
+
+This method is available in deployments hosted in the following environments:
+
+.. include:: /includes/fact-environments-atlas-only.rst
+
+.. include:: /includes/fact-environments-atlas-support-no-free.rst
+
+.. include:: /includes/fact-environments-onprem-only.rst
+
+                   
 Syntax
 ------
 

source/reference/method/db.logout.txt

@@ -39,3 +39,17 @@ db.logout()
 
    :method:`db.logout()` function provides a wrapper around the
    database command :dbcommand:`logout`.
+
+
+Compatibility
+-------------
+
+.. |command| replace:: method
+
+This method is available in deployments hosted in the following environments:
+
+.. include:: /includes/fact-environments-atlas-only.rst
+
+.. include:: /includes/fact-environments-atlas-support-all.rst
+
+.. include:: /includes/fact-environments-onprem-only.rst