Compositions are provided comprising a nanofiber scaffold that is seeded with one or more relevant cells and has a basketweave configuration that mimics the structure of a tissue, such as a cardiac tissue. Methods for treating damaged cardiac tissue in a subject are also provided and include applying an effective amount of the composition to damaged cardiac tissue. Methods for making nanofiber scaffold compositions are further provided and include electrospinning a biodegradable polymer onto a mandrel to create a mat of electrospun nanofibers, dividing the mat into nanofiber strips; and weaving the strips into a nanofiber scaffold having a basketweave configuration that mimics the structure of a tissue.