Gastrointestinal tracts exhibit a number of surface morphologies including zigzags, labyrinths, protrusions, and invaginations which are associated with digestive functions and are suggested to be formed by mechanical mechanisms. In this study, we investigate loading conditions and mechanical properties of tissues that reproduce different wrinkle patterning of gastrointestinal tracts on cell culture platforms. Numerical simulations of wrinkling dynamics are performed for a layered model consisting of an anisotropic epithelial layer resting on a bimodular soft substrate, which in turn adheres to a rigid foundation. Motivated by the patterning of intestinal villi of chicks and mice, we examine two-step compression, where the epithelial layer is subjected to uniaxial compression followed by biaxial compression, and one-step compression, where the epithelial layer is compressed in biaxial directions. Under different mechanical conditions of tissues, a wide variety of surface patterns are displayed that reproduce luminal patterns of digestive tracts. These results suggest possible conditions for mechanical regulation of tissues to duplicate gastrointestinal surface patterns in vitro and provide insight into mechanistic understandings of biological tissues.