A press release from Galloway's office stated that, under the Municipal Courts Initiative, auditors will more closely examine statistics on warrants and tickets.
The initiative will also emphasize investigating cases of unfair treatment that could damage the credibility of the courts.
Municipal court reform was a major issue in the 2015 legislative session.
Lawmakers passed a measure that limits the amount of revenue local government can generate from traffic tickets.
Gov. Jay Nixon signed the bill into law in July.
"True, comprehensive reform must include a series of approaches in order to effect real change and must be conducted with full transparency," Galloway said in the release. "The proposed rules filed by my office lay out clear guidance for counties, municipalities and courts in meeting critical requirements, and the process allows for full participation by the citizens of Missouri."
A public hearing will be held Nov. 2, 2015 in Jefferson City to discuss the proposed changes.