Germany's Natalie Geisenberger, Felix Loch, Tobias Arlt and Tobias Wendl finished first in 2:03.791, while the Austrian team placed third in 2:04.686.
Canada placed second in the relay event at the World Cup in Igls, Austria two weeks ago.
Earlier, Gough took silver in the women's event, finishing 0.133 seconds away from first place. Geisenberger finished in 1:13.412 seconds for gold and Anke Wischnewski, also of Germany, was third in 1:13.622.
Canadians Kimberley McRae, Arianne Jones, and Jordan Smith, all also from Calgary, finished 11th, 14th and 17th, respectively.