The production mechanisms of antimatter hypernuclei, such as ({}_{\\bar{\\Lambda }}{}^{4}\\bar{{\\rm{H}}}), in high-energy nuclear collisions are similar to those of their matter counterparts, involving the coalescence of antiprotons, antineutrons, and antihyperons. However, the lifetimes of antimatter hypernuclei may differ from their matter counterparts due to potential differences in the strong and weak interactions governing their decay processes. By comparing the production mechanisms and lifetimes of antimatter hypernuclei with those of their matter counterparts, researchers can probe the fundamental symmetries between matter and antimatter. Any observed deviations in these properties could hint at violations of CP symmetry or other fundamental symmetries, providing valuable insights into the matter-antimatter imbalance in the universe.