Technology and Research Accelerating National Security and Future Economic Resiliency Act of 2013

Technology and Research Accelerating National Security and Future Economic Resiliency Act of 2013 or the TRANSFER Act of 2013 - Amends the Small Business Act to replace provisions requiring the Director of the National Institutes of Health to use funds for a Proof of Concept Partnership pilot program to accelerate the creation of small businesses and the commercialization of research innovations made by certain institutions with provisions directing each federal agency required to establish a small business technology transfer (STTR) program to carry out an Innovative Approaches to Technology Transfer Grant Program to support innovative approaches to technology transfer at institutions of higher education, nonprofit research institutions, and federal laboratories in order to accelerate the commercialization of federally funded research and technology by small businesses.

Outlines activities eligible for funding, application requirements, and award procedures and amounts. Requires successful grant proposals to include a plan to assemble a program oversight board to establish award programs for individual projects and evaluate project applications. Provides the percentage of each agency's extramural budget to be expended on such Program for FY2014-FY2017.

Directs each agency to: (1) develop a Program evaluation plan and collect information from grantees annually to evaluate the Program, and (2) submit a Program activities report to specified congressional committees.

Requires the Administrator of the Small Business Administration (SBA) to include information on the Program on the public database of small businesses participating in STTR or Small Business Innovation Research programs.