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The paper presents the results of a study into the processing and physical and mechanical properties of mixtures based on liquid glass (LG) with furfuryl oxypropyl cyclocarbonate (FOPCC) for chromite compounds. The patterns of the interaction between triethanolamine-modified liquid glass with furfuryl oxypropyl cyclocarbonate and chromite sand were established. Parameters such as compressive strength, flexural strength, and tensile strength were studied, which were determined using standard methods. Mathematical models of the properties of mixtures on chromite sand with liquid glass and FOPCC were developed based on the planned experiment. Mathematical models represent a system of equations linking the compressive strength, tensile strength, and flexural strength of the mixture with controlled variables of a technological nature for which the contents of liquid glass, FOPCC, and triethanolamine were chosen. Based on the data obtained, it was found that the flexural strength, tensile strength, and compressive strength increase with an increase in the content of LG and FOPCC. The compositions of cold-hardening mixtures on chromite sand were optimized, allowing obtaining high-quality cores with high strength properties. It has been established that FOPCC is a material that has a double effect; it hardens the mixture during preparation and softens it after pouring metal during decoring. The optimum binder content is 4,5 to 5,5%, and the optimum hardener content is 0.4 to 0,6%. A technological procedure has been developed to prepare chromite sand-based CHM. As a result, the surface quality was improved, and the burn-on on the castings was reduced.