Leptoquarks, hypothesized as particles of scalar or vector nature, interact with both quarks and leptons. Building on recent measurements from B factories, we investigate how leptoquark couplings influence the rare decays of B mesons involving missing energy. We systematically explore all possible scalar and vector leptoquarks that are invariant under the Standard Model gauge group, conducting a comprehensive analysis to fit their couplings and masses using the latest experimental data. This study focuses on assessing the specific impact of each leptoquark on the rare semileptonic B meson decays with missing energy.