The first one happened when Chisenhall came to the plate with runners at the corners and nobody out in the third inning against Rangers starter Jerome Williams.
Chisenhall, with the Indians leading 2-0, hit a ground ball to first baseman J.P. Arencibia, who threw to second to start the double play. The relay from shortstop Elvis Andrus to first base was close, but Chisenhall was called safe. That gave him an RBI as the run scored.
Washington challenged the call by first-base umpire Marvin Hudson, and it was overturned after review. The run still counted, but it didn't count as an RBI for Chisenhall.
The second overturned play came in the fifth. This time, the Indians had runners on the corners with two outs when Michael Brantley singled to center. The run scored, and Mike Aviles tried to go from first to third against Rangers center fielder Leonys Martin.
Again, the throw was close, and Aviles was ruled safe by third-base umpire Cory Blaser. Washington opted to use his additional challenge, and the call was overturned for the third out of the inning. Washington is now 16-for-25 on challenges this season.
It's the second time Washington has challenged two calls in a game. He was 1-for-2 on April 28 against the Athletics.
T.R. Sullivan is a reporter for MLB.com. Read his blog, Postcards from Elysian Fields, and follow him on Twitter @Sullivan_Ranger This story was not subject to the approval of Major League Baseball or its clubs.