We　present　an　alternative　scheme　to　achieve　Schrodinger　cat　states　in　a　strong　coupling　hybrid　cavity　optomechanical　system.　Under　the　single-photon　strong-coupling　regime,　the　interaction　between　the　atom-cavity-oscillator　system　can　induce　the　mesoscopic　mechanical　oscillator　to　Schrodinger　cat　states.　Comparing　to　previous　schemes,　the　proposed　proposal　consider　the　second　order　approximation　on　the　Lamb-Dicke　parameter,　which　is　more　universal　in　the　experiment.　Numerical　simulations　confirm　the　validity　of　our　derivation.