The pair are set to join Shai Bolton in recommitting to the Tigers for another season.
Menadue played five AFL games this year, while Moore played six.
The 19-year-old played three senior games this season and has shown glimpses of skills in his two seasons at the club.
Richmond General Manager of Football Neil Balme said the club was pleased to re-sign Bolton.
“We’re really pleased for Shai to sign on with us for next season, he’s a talented player and a good young man,” Balme told the Richmond website.
“With another full pre-season under his belt, we’re really excited for Shai to continue his development.”
Richmond are set to sign Tom Lynch once the free agency period opens on Friday, but could lose a few of their players to other clubs.
Premiership hero Jacob Townsend has been linked to St Kilda but wants to remain at Punt Road.