The right-hander allowed two ninth-inning runs in a 6-4 loss to Houston.
A nine-run first inning led Kansas City to a 14-5 victory.
The Twins are now 11.5 games back in the AL Central.
The A's handed the Twins a 6-1 loss on Friday night.
The Twins' bats continued to be quiet in Sunday's loss to Pittsburgh.
The Twins defeated the Tigers 15-6 on Monday afternoon.
The 34-year-old has agreed to a one-year, $2 million deal pending a physical.