The Indans will play another doubleheader on Wednesday, which throws off the starting rotation and means Tomlin or Bauer will be brought up.
Tonight's game between the Indians and Padres has been postponed due to rain (for San Diego fans unfamiliar with the concept: In many parts of the world it is common for water to sometimes fall from the sky). The game will be made up on Wednesday, as part of a traditional doubleheader (for young fans not familiar with the concept, a traditional doubleheader means there is only a short break between the two games, and one ticket admits you to both of them).
The first game will start at 12:05 ET, when that day's game was already scheduled to take place. The second game will then begin ~45 minutes after the conclusion of the first one. If you had tickets for Wednesday, that ticket is now good for both days. If you had tickets for tonight, you may exchange them for comparable seats at another game (further details on that here).
A second doubleheader so early in the season isn't ideal for the team, but it's especially problematic because the team doesn't have a day off this week, which means they'll be forced to bring up another starting pitcher to work one of those two games. Technically, they could instead have Corey Kluber and Zach McAllister start those two games, but then no one would be on full rest come Sunday, and they'd have to bring someone up then. That's not a good plan though, because baseball rules allow them to bring up an extra player for Wednesday's second game, whereas they'd have to option someone in order to bring them up on Sunday.
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UPDATE:You can ignore the debate below about who should be called up, because (as been pointed out in the comments) Tomlin started Saturday, which means he wouldn't be on full rest Wednesday (I was thinking he'd started Friday). Bauer will almost certainly be the one called up, whether I like him as a spot starter or not.
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Trevor Bauer and Josh Tomlin seem like the two candidates. Each of them has made one start at Triple-A Columbus so far: Baur was very good, allowing only 1 run in 6 innings, while striking out 9 and walking only 2. Tomlin was not as sharp, giving up 4 runs in 6 innings, and very uncharacteristically walked 3 batters. Based on that small sample, Bauer might seem the better choice, but he struggled in spring training, posting a 10.29 ERA in 7 innings, with 8 strikeouts and 5 walks, while Tomlin posted a 3.54 ERA in 20.1 innings, with 19 strikeouts and 4 walks.
My preference would be Tomlin. That's not because I think he gives the team a substantially better chance to win on Wednesday, but because my preference would be that Bauer is not called up til he really seems ready to stick. That's the same thing I wanted last year, but he was repeatedly moved back and forth between Cleveland and Columbus. Tomlin has more experience, and I'd rather he be called upon for what amounts to a spot start. We should know very soon what the Tribe's plan is.