Sean Rodriguez started in place of Carl Crawford in left field on Sunday while Tuesday night's lineup saw Reid Brignac at shortstop instead of Jason Bartlett and Ben Zobrist in center field instead of B.J. Upton.
Maddon has long believed that a player can achieve a more complete rest when it coincides with a team off-day to give the player consecutive days off his feet.
"He said he wants to get me two days," Bartlett said. "He likes that two-days thing. This is another way to do it, and I think it's a good way to get some guys in, too."
Crawford ended up playing in the ninth inning of Sunday's game after having the first eight innings off. On Tuesday, it was Upton's turn to serve a bench role as he pinch-ran in the top of the seventh inning and remained in the game as Tampa Bay's center fielder.
"It's always nice to get a day off; usually towards the end of those 10 days [during a homestand], you feel a little beat up," Crawford said. "Especially the way we play. We're always running real hard trying to steal bases. Stuff like that."
According to Crawford, two days off can rejuvenate his legs.
"You definitely can feel the difference," Crawford said. "After a full day off, you can feel the freshness in your legs. A lot of people may think it's early to get days off like that, but it definitely helps for the long term."
Upton said any day off is a good day.
"But Joe's always been a big believer that if he's going to give you one, he's going to give you two, right before or after an off-day," Upton said. "I'll definitely take this one. Get my legs back under me and get ready to ride it out."
Based on the long homestand on the artificial surface at Tropicana Field and Monday's travel to Seattle, Upton said the off-day came at the right time for him.
"The biggest thing is coming off the turf as long as we were home," Upton said. "Being able to get back on grass, I think [Maddon] knows I would have been fine today, but to give me two days off and be able to get out there on grass for the rest of the road trip is really big."
Upton laughed when asked if the next time he gets an off-day he would prefer not to play on the day when Zack Greinke faces the Rays. The Kansas City right-hander was tough during the Rays' 1-0 win over the Royals on Sunday, a game in which Upton played center field.
"Nah, it doesn't matter, I don't care who's out there," Upton said. "The biggest thing is just to have my legs under me. Not that they haven't been, but it was getting to the point that I think some of the at-bats kind of showed that the past couple of days."