Ramon Laureano has been suspended six games and Alex Cintron 20 games for their roles in Sunday's benches-clearing incident between the Oakland Athletics and Houston Astros.
Laureano, who also received an undisclosed fine, has appealed the suspension.
Cintron, Houston's hitting coach, also received an undisclosed fine. His suspension begins immediately.
"I apologize for my part in Sunday's unfortunate incident. As coaches, we are held to a higher standard and should be an example to the players. Hopefully, other coaches will learn from my mistake so that this never happens again in the future," Cintron said in a statement.