Families Learning and Understanding English Together Act of 2013 - Authorizes the Secretary of Education to make grants to providers of family literacy services to improve the literacy and English skills of limited English proficient individuals who are parents or children in families where each parent is at least 16 years old and where at least one child is under age 8.
Directs the Secretary to reserve certain funds to: (1) make grants to, or enter contracts with, national organizations that have family literacy service expertise to provide grantees with technical assistance and training; and (2) evaluate and improve the family literacy grant program.
Requires grantees to meet specified outcome measures.