Putting Our Veterans Back to Work Act of 2013 - Amends the: (1) VOW to Hire Heroes Act of 2011 to extend through March 31, 2016, the veterans retraining assistance program; and (2) Wounded Warrior Act to extend through 2016 the authority of the Secretary of Veterans Affairs (VA) (Secretary) to provide the same rehabilitation and vocational benefits to members of the Armed Forces (members) with severe injuries or illnesses as are provided to veterans.
Extends through: (1) March 31, 2016, additional VA rehabilitation programs for certain disabled veterans who have completed a VA rehabilitation program and have exhausted their rights to state unemployment benefits; and (2) FY2015 the collaborative veterans' training, mentoring, and placement program.