England and British & Irish Lions flanker Moody is sidelined until October 6, although that period of absence could be extended when he appears before a Rugby Football Union disciplinary panel next Tuesday after Leeds officials cited him.
Gloucester, meanwhile, have announced a two-week ban for hooker Rob Elloway following Monday night's 37-7 A League victory over Bath at Kingsholm.
Elloway was yellow-carded as a result of an 80th-minute incident, but Gloucester head coach Dean Ryan convened an internal disciplinary hearing after reviewing a tape of the match.
The fortnight's ban means Elloway is sidelined until September 27. He admitted the offence.
"I accept the findings of the internal disciplinary hearing," said the 21-year-old.
"I would like to take this opportunity to apologise to the individual concerned, and to the club and my team-mates for my actions in the A team fixture."