Damon and Beckham appear as brothers in the 60-second ad.
The group acquired the UK cider brand back in 2018.
The hit to US exports from its nearest neighbours has been postponed for 30 days.
Martin’s Brands previously dealt with the vodka's Spanish distribution.
The Jim Beam owner lined up an in-house UK unit last year.
President Trump confirmed the tariffs on Canadian and Mexican exports over the weekend.
Proof Drinks takes over from Amber Beverages as the rum brands distributor in the country.
Cole previously worked at Nestlé Purina, Kerry Foods and Reckitt.
The 60-second advert is part of the brand's 'Play for an Ultra' campaign.