I recently started using a Samsung Galaxy S4 and one of the features in a synchronization between text messages and email accounts.
When a text message comes in it throws a copy into my Exchange email accounts that are one the phone. I want to turn this feature off but cannot find a setting for it anywhere.
It's in the settings for your Exchange account, hidden rather well.
To stop this you simply need to disable the Sync SMS feature on your Android phone which is enabled by default.
To disable the Sync SMS feature:
Now you won't be receiving the text messages in your email inbox.
In Settings-Accounts on my S4 both under KitKat and under Lollipop there was/is NO Sync SMS settings.
The only way I got that checkbox to show was to delete and recreate the Outlook account. Then, on sync settings list during the setup wizard, Sync SMS was an option along with Contacts, Calendar, etc...
I had the same problem. Some of the above responses apply to other phones. Finally found it on my S6. Go to: Settings, Device, Applications, Email, then find the email account and click on it. Scroll down to find the Sync Messages option. Turn it off.
In the native 'Email' application, disable Sync Message.
Found on "Android Central Forums"