We　study　the　Standard　Model　and　the　new　physics　predictions　for　the　lepton-flavour-universality　violating　(LFUV)　ratios　in　various　b　?&　nbsp;sl(+)l(-&　nbsp;)channels　with　scalar,　pseudoscalar,　vector,　axial-vector,　and　A　baryon　final　states,　considering　both　unpolarized　and　polarized　final　state　hadrons.　In　order　to　formulate　physical　observables,　we　use　the　model　independent　effective　Hamiltonian　approach　and　employ　the　helicity　formalism.　We　provide　the　explicit　expressions　of　the　helicity　amplitudes　in　terms　of　the　Wilson　coefficients　and　the　hadronic　form　factors　by　using　the　same　kinematical　configuration　and　polarization　conventions　for　all　the　decay　channels.　We　perform　the　numerical　analysis　with　new　physics　scenarios　selected　from　the　recent　global　fits　to　b　?&　nbsp;sl(+)l(-&　nbsp;)data,　having　specific　new　physics　model　interpretations.　We　find　that　some　of　the　LFUV　ratios　for　these　complementary　channels　in　different　kinematical　regions　have　high　sensitivity　to　new　physics　and　the　future　measurements　of　them　in　Belle　II　and　LHCb　experiments,　along　with　testing　new　physics/LFUV,　can　help　to　distinguish　among　some　of　the　different　new　physics　possibilities.　(C)&　nbsp;2022　The　Author(s).　Published　by　Elsevier　B.V.　This　is　an　open　access　article　under　the　CC　BY　license　(http://creativecommons.org/licenses/by/4.0/).&　nbsp;