Cueto, 29, is 7–6 with a 2.62 ERA, 0.93 WHIP and 120 strikeouts in 19 starts this season and made the All-Star team for the second straight year.
Now in his eighth season, Cueto had spent his entire major-league career in the Reds organization, going 92–73 with a 3.21 ERA and 1.17 WHIP. He led the National League with 242 strikeouts last season and finished second in NL Cy Young voting.
Finnegan, 22, has a 2.96 ERA, 1.19 WHIP and 21 strikeouts in 24 1/3 innings out of the Kansas City bullpen this season and played a role for the team in relief during the 2014 playoffs. The Royals selected him with the No. 17 pick in the 2014 draft.
Lamb, 25, was a fifth-round selection in the 2008 draft. He held a 2.67 ERA and 1.15 WHIP in 17 starts for Triple A Omaha this season, with a 9–1 record and 96 strikeouts.
Reed, 22, was a second-round pick in 2013 and holds a 2.53 ERA and 1.18 WHIP with 84 strikeouts in 18 appearances, 15 of them starts, between Single and Double A this season.
– Jeremy Woo