Hasselbaink strike steals it for Middlesbrough
The visitors created plenty of chances on the break and more than deserved their win, but Everton showed further signs of a recovery after their dreadful start to the season with an attacking display that could have forced the tie into extra-time.
As it was, a 20-yard free-kick against the bar from their outstanding player Mikel Arteta was the closest the Merseysiders came.