Aaron Rodgers' Brother Says the 'Bachelorette' Family Rift Coverage Hurt His Family

Aaron Rodgers' brother says it's "unfortunate" the way "The Bachelorette" featured the rift between his family and the NFL star on the show ... saying the coverage hurt his family.

Luke Rodgers -- the oldest of the Rodgers brothers -- appeared on "TMZ Sports" (airs Wednesday night on FS1) ... and says the fact producers continued to inject Aaron into the show rubbed him the wrong way.

The good news ... Luke says the love between his bro, Jordan Rodgers, and JoJo Fletcher is 100% LEGIT -- telling us, "I've never seen my brother so happy."