Negative refraction is a phenomenon in which light, when striking a material at an oblique angle, undergoes refraction toward the same side with respect to the surface normal. Over the past two decades, various approaches have emerged for creating materials exhibiting this unique property that is absent in nature. These methods comprise metamaterials as well as diverse techniques for tuning liquid crystal or photonic crystals containing liquid crystals utilizing birefringence of the material. This work demonstrates diffraction-based beam steering at a large angle to a negative direction with an efficiency greater than 85%, for incident light over an angular range of approximately 20°. The component is based on a chiral liquid crystal grating with an inclined helical axis, which is normally used in reflective mode and has a positive index of refraction. Here, the diffractive properties are used in the transmission mode, which can be utilized in other applications. The conditions for the angle of incidence and wavelength are derived based on a k-vector diagram. The diffraction angle and efficiency of the grating are simulated, and the properties are measured for a fabricated device.