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Not sure about 2.2.3, but on 2.0.13, you need to go into the modules you would like to receive notifications on, select the event/notification, and verify that your profile settings are set appropriately (i.e. - pm notification, or email).
For example, if you go into the news module and select an article, down at the bottom of the page there are several options - notify when any new article is submitted, notify when a new article in that category is submitted, etc.
Most modules work this way with notifications. Just look for the notifications option at the bottom of the page while looking at content for that module.
You can then manage notification preferences from the notifications option in the user menu (i.e. - delete notifications, etc. if you get too many emails, or whatever).
Don't forget to also check to make sure that you've enabled notifications (if available) for the modules in question on the admin side.
