"Last night when [Nick Swisher] hit that ball off his knee, I was going to take him out," manager Terry Francona said. "I said if you finish this game, I'll DH you tomorrow. Then I had to figure out how to do it.
"So we moved Mark to third, and I think he's kind of excited. We'll move [catcher Carlos] Santana to first. I think Santana's excited about it. It gives him a day off for his legs from squatting. I think it will work."
That also gave third baseman Lonnie Chisenhall and designated hitter Jason Giambi the day off Sunday.
Reynolds hit a three-run homer in Cleveland's eight-run first inning Saturday night and finished the game 2-for-4 with a walk, driving in four runs.
Reynolds had started 15 of Cleveland's 16 games this season, six at first base and nine as a designated hitter.
Reynolds also returned to the No. 5 spot in the batting order Sunday, where he hit earlier in the year. He had been hitting seventh.
"I don't care where I hit, as long as I've got a jersey and I'm in the lineup," he said.
Reynolds started at third base for four years with Arizona, then was traded to Baltimore, where he moved to first base.