Falter (3-0) allowed only three baserunners – a double, walk, and an error – in seven scoreless innings, needing only 82 pitches – 57 for strikes – in the win.
In his last two outings, Falter has permitted only two runs on five hits across 14 innings, earning victories in both.
Falter retired each of the first nine to bat against him, before Logan Warmoth led off the fourth. He appeared to have Warmoth struck out on a 1-2 curveball, but the pitch was ruled a ball and later Warmoth walloped a double to right-center for the Blue Jays first and only hit.
Richard Urena followed with a walk, putting two on with nobody out in a one-run game.
Falter came back and struck out Josh Palacios on a fastball, then got Bradley Jones to bounce into a double-play to end the threat.
Rivero entered in relief in the eighth inning, working a perfect frame with the help of a diving stop by second baseman Jose Antequera.
Brown issued a pair of walks to open the ninth, but following a pair of failed bunt attempts, Brown struck out Urena on an inside slider for the first out. Palacios then hit a soft chopper to the left side, which third baseman Raul Rivas cut off and glove-flipped to second for the force out.
Brown then got Bradley Jones to ground to third for the final out, as the lefty earned his first career save.
After a league-wide off day on Monday, the Threshers will return home to Spectrum Field to host the Lakeland Flying Tigers on Tuesday at 7 p.m. Connor Seabold (0-1) is scheduled to take the hill for Clearwater.