Jake Rogers blossoms as the Tigers last vestige of the Justin Verlander trade

HOUSTON — It was the end of August, and Jake Rogers was sitting on a couch in a three-bedroom apartment filled with about 13 minor-league players. The season was nearing its end, so some of his teammates needed a place to crash for the final few days. They were watching a movie, drinking a couple of beers, doing what minor leaguers do. Rogers had his phone turned face down. And at one point, he flipped it over. His screen was filled with texts and missed calls. The first person he called back was his brother. “He was like, ‘Dude, it…