You can subscribe the triggers yourself using AppleScript according to this template:
If the script is started as a file at the start of BTT (important, because otherwise it runs in a script runner, which is terminated after execution), the triggers come reliably.
Edit: Here is the script for NSWorkspaceScreensDidWakeNotification based on the template:
script theScript
use framework "Foundation"
use scripting additions
property ca : current application
property workspaceClass : class "NSWorkspace"
on addObserver()
set ws to workspaceClass's sharedWorkspace()
set nc to ws's notificationCenter()
tell nc to addObserver:me selector:"screensDidWakeNotification:" |name|:"NSWorkspaceScreensDidWakeNotification" object:(missing value)
end addObserver
on screensDidWakeNotification:theNSNotification
tell application "BetterTouchTool"
--trigger your named trigger
trigger_named "OnScreensDidWake"
end tell
end screensDidWakeNotification:
end script
theScript's addObserver()
Note: Of course it does not work if the option "Restart BTT after standby" is activated in BTT. In this case you can directly use the trigger "After BTT was started".