The world champions from Edinburgh were edged out 6-5 Norway’s ‘curling couple’ Kristin Skaslien and Magnus Nedregotten in a tense semi-final in Beijing which came down to the final stone.
Italy beat Sweden in the other semi-final. The final and bronze medal matches take place tomorrow.
Mouat said: “I think we controlled that, which is the toughest part right now. I’m just really disappointed with my last three ends. That’s going to be the toughest thing to get over. Jenn played absolutely amazing all day.
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“I’m disappointed for what I’ve done for the team. It’s tough.”
Dodds added: “I felt it was the best game we played all week, so that made it even harder to take. We gave ourselves a chance at the end and that’s all we could ask for. We win as a team and lose as a team.
“We have to regroup for tomorrow. There’s still a medal to be won out there.”