Hmm... doesn't work anymore. Don't know why
What do you mean with [not_title] and [notification]?
Use Notification trigger to see what it really contain for testing.
Not means not, just reversed a boolean value. When a string does NOT contain the string "provider1," it means as is, does NOT mean It contains "provider2"(still might contain or not contain "provider2").
If you really got a word, provider 1 or 2 in [not_title] or [notification], you should trigger with its Contains condition filter. After getting both in Actions, you can check each not only by your own eyes but by Text manipulation action.
As your #3 additional comment, you could get and it should be ok, but failed. Remember what
@MacroDroidDev said. You might have to looking for another way.