A　scheme　is　proposed　for　fast　generation　of　entangled　states　in　directly　coupled　bimodal-mode　cavities　based　on　shortcuts　to　adiabatic　passage.　The　scheme　can　be　realized　by　transitionless　quantum　driving　with　the　help　of　quantum　Zeno　dynamics　and　non-resonant　lasers.　First,　we　simplify　the　system　by　the　quantum　Zeno　dynamics.　Then,　under　the　large　detuning　condition,　we　get　the　effective　Hamiltonian　which　is　equivalent　to　the　corresponding　counter-diabatic　driving　Hamiltonian　to　speed　up　the　evolution　process.　The　effects　of　decoherence　induced　by　atomic　spontaneous　emission,　leakage　of　the　cavity　and　operational　imperfection　are　also　taken　into　account.　The　numerical　simulation　result　shows　that　this　scheme　is　robust　against　these　factors.　During　realizing　the　scheme,　the　laser　pulses　are　not　strongly　limited　and　the　auxiliary　levels　or　multi-step　operations　are　not　needed.　Moreover,　for　any　quantum　system　whose　Hamiltonian　is　possible　to　be　simplified　into　the　same　form　in　the　paper,　the　corresponding　alternative　physically　feasible　Hamiltonian　can　be　built　with　present　method,　which　provides　a　scalable　way　for　the　preparation　of　entangled　states　in　theory.