Device notifications don't indicate the full details of the trigger.
If I have two triggers, one rising above 30deg C and one falling below 30deg C then it is impossible to determine which.
The email and sms notification should contain at least the following information: device name, trigger name, threshold, direction (above/below). The sensor name and the actual threshold value are useful/helpful but if limited space in a sms then could be omitted.
See screenshots for the current functionality with an email trigger: