Liverpool will now face Newcastle United in this years Carabao Cup final.
The Reds booked their spot with a comprehensive 4-0 win over Ange Postecoglous side at Anfield on Thursday night.
Spurs had edged the first leg 1-0 in North London, with Berge grabbing a late winner.
The first half of the reverse fixture ended goalless, with the hosts unable to carve out clear-cut chances.
But the floodgates were opened after Cody Gakpo put Liverpool ahead with a snapshot.
