The list includes more parents and educators.
Kenney told the nominating panel that he wants more diversity on the new list of at least 18 people. He's not ruling out making his choices from the first group of 27 names, however.
The next step would be a trial on the merits. Attorneys for legislative leaders would like to see the case thrown out.
The group includes two current School Reform Commission members.
The commissioners also moved Policy 406 ahead for review, despite fierce opposition from charters.
The School Reform Commission is due to consider the policy Thursday. Several dozen charter advocates rallied outside District headquarters to protest, citing overreach and a lack of collaboration.
They are seeking to influence who is chosen for the Board of Education and to get Council support in disputes with District regulations.