Veterans Back and Spinal Therapy Act - Directs the Secretary of Veterans Affairs (VA) to establish a two-year pilot program to: (1) provide covered veterans with non-invasive techniques to treat spinal, back, and musculoskeletal injuries and pain; and (2) use an evidence-based medicine framework to assess the effectiveness of such techniques. Includes as a covered veteran one who: (1) has a service-connected spinal, back, or musculoskeletal injury; or (2) is eligible for VA hospital or nursing home care or medical services by reason of active duty in a theater of combat operations during a period of war after the Persian Gulf War.
Requires the Secretary, in selecting program participants, to give a preference to veterans who served in Operations Enduring Freedom, Iraqi Freedom, or New Dawn.