The House and Senate Committees on Redistricting will be working hard over the next month to draw new maps. The legislature is scheduled to be back in Salem the week of September 20th for a special session to vote on the new lines. The legislature is required to approve a new map by September 27th. If the legislature fails to agree to a map by then, or if Governor Brown vetoes the plan, then the redistricting process will be handled by the Secretary of State for legislative lines and by a panel of retired judges for the congressional lines.
Secretary of State Shemia Fagan is forming a People's Commission to oversee the redistricting process if the legislature is unable to adopt new districts by the deadline. You can learn more about the People's Commission HERE. If you're interested in applying, the application can be found HERE and must be submitted by September 2nd.