Astros manager AJ Hinch and general manager Jeff Luhnow were suspended without pay for one season following the league's investigation into the cheating scheme, MLB Commissioner Robert D. Manfred Jr., announced earlier.
The Red Sox are being investigated for using video to determine opponents' signs in 2018, the year they won the World Series with Cora in his first season as manager. The Astros later fired both men.
The investigation was initiated after former Detroit Tigers pitcher Mike Fiers, who pitched for the Astros in 2017, went public with allegations of an elaborate sign-stealing system used by his former team.
It is Cora who helped create the system to steal signs from other teams - using video monitors, and a message system that involved banging on a trash can.
At Fenway Park, there's a "replay room" steps away from the dugout that managers can use to figure out whether they want to challenge plays.
According to ESPN, the scandal was largely player-driven and Luhnow and Hinch did not directly participate in the scheme.
"The conduct described herein has caused fans, players, executives at other Major League Baseball clubs, and members of the media to raise questions about the integrity of games in which the Astros participated".
The suspensions would have lasted through the 2020 World Series and were among a series of Major League Baseball penalties from the sign-stealing probe.
The Astros lost their first and second-round picks in the 2020 and 2021 MLB Drafts.
"Cora began to call the replay review room on the replay phone to obtain sign information ..." If they pick up a catcher's sign from second base, they may bring information back from the dugout and confer with teammates.
No bang meant a fastball, the report said. Hitters are also allowed to visit the replay room during games to study their swing.
Stealing signs has always been a part of baseball, and the practice typically involves a team watching the hand signs used by an opposing team, such as those between a catcher and a pitcher.