Most cancers originate from epithelium, the top layer of mucosa. We report single-snapshot Spatial Frequency Domain Imaging (SFDI) of mucosa with visible modulated light. A novel two-layer mucosa model enables the mapping of the total hemoglobin concentration, the oxygen saturation, the scattering characteristics of the top and bottom layers, and the thickness of the top layer from a single-snapshot. After validating with phantom studies, we demonstrate its applicability to the characterization of mucosa by imaging human mouth lips of healthy subjects. The proposed approach may find important applications in screening mucosa for early detection of cancer and other diseases.