This paper presents a method to characterize six anisotropic thermal moduli for lattice structures, enabling the estimation of full anisotropic thermal elastic moduli. The study focuses on a group of distorted Kelvin cells, generated by twisting the four-node faces, to explore the relationship between distortion, anisotropic thermal expansions, and dynamic responses. Through parametric studies, the anisotropic thermal moduli are characterized as functions of the twisting angles, revealing that thermal moduli related to compression decrease with increasing twisting angles, while those related to shearing, which do not exist in isotropic materials, are identified. Dynamic responses reveal complex modal shapes and coupling between longitudinal and transverse directions, enhancing vibration mitigation. The proposed lattices and methods offer a promising structure for assembling and designing dual-functional metamaterials, featuring customizable thermal elastic moduli, ease of space assembly, lightweight structure, and effective vibration mitigation capabilities.