Reforming Disaster Recovery Act This bill addresses the response of the Department of Housing and Urban Development (HUD) to disasters. The bill establishes the Office of Disaster Management and Resiliency at HUD to coordinate HUD disaster preparedness and response responsibilities. The office must also coordinate with other federal agencies in supporting recovery and resiliency activities. Further, the bill creates the Long-Term Disaster Recovery Fund to fund the Community Development Block Grant Disaster Recovery Program. The program must provide states, tribes, and communities with grants for rebuilding affordable housing and infrastructure after a disaster. Grantees are required to certify that funds will be administered in compliance with specified fair housing and civil rights laws. Grantees must also prioritize assistance for extremely low-, low-, and moderate-income victims of disasters, as well as other vulnerable groups. The bill also provides for increased data sharing regarding disasters, including by requiring HUD to share data with other federal agencies regarding disaster benefits and by requiring the Federal Emergency Management Agency (FEMA) and the Small Business Administration to share data on disaster benefit applicants with HUD.