The phrase "to continue the reform" means to keep making changes and improvements to something in order to make it better, even though the process may have already started. Full definition
What resources do you feel are critical to continued reform in your nation's schools? (ascd.org)
Our evidence of a clear, strong relationship between cognitive skills and economic growth should encourage continued reform efforts. (educationnext.org)
Continuing reform with ethics, campaign finance, pushing the rules even further are all priorities. (nymag.com)