There are many reasons why you might not be seeing Facebook birthday notifications:
a) You might have accidentally turned off birthday notifications. Here's how to check:
1. Open the Facebook app.
2. Go to Settings & Privacy, then Settings.
3. Navigate to Notifications.
4. Find the Birthdays option and make sure the toggle switch is turned on.
b) If your friend has hidden their birthday or restricted who can see it, you won't get a notification.