Veterans Corporation Reauthorization and Enhancement Act of 2006 - Amends Small Business Act provisions establishing a National Veterans Business Development Corporation (Corporation) to: (1) authorize appropriations for the Corporation in FY2008-FY2012; (2) require the Corporation to seek private funding; (3) make members of the reserve components eligible for business development programs sponsored by the Corporation; and (4) require the Secretaries of Veterans Affairs and Labor to provide information on services provided by the Corporation to veterans.