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Recently, GRB 221009A, known as the brightest of all time (BOAT), has beenobserved across an astounding range of $\sim 18$ orders of magnitude in energy,spanning from radio to VHE bands. Notably, the Large High Altitude Air ShowerObservatory (LHAASO) recorded over $60000$ photons with energies exceeding$0.2\rm~TeV$, including the first-ever detection of photons above $10\rm~TeV$.However, explaining the observed energy flux evolution in the VHE bandalongside late-time multi-wavelength data poses a significant challenge. Ourapproach involves a two-component structured jet model, consisting of a narrowcore dominated by magnetic energy and a wide jet component dominated by matter.We show that the combination of the forward shock electron synchrotronself-Compton emission from both jets and reverse shock proton synchrotronemission from the wide jet could account for both the energy flux and spectralevolution in the VHE band, and the early TeV lightcurve may be influenced byprompt photons which could explain the initial steep rising phase. We noticedthe arrival time of the highest energy photons detected by LHAASO-KM2Acoincident with the peak of the reverse shock proton synchrotron emission,especially a minor flare occurring about $\sim500-800$ seconds after thetrigger, coinciding with the observed spectral hardening and arrival time ofthe $\sim 13\rm~TeV$ photons detected by LHAASO. These findings imply that theGRB reverse shock may serve as a potential accelerator of ultra-high-energycosmic rays, a hypothesis that could be tested through future multimessengerobservations.

The origin of very-high-energy gamma-rays from GRB 221009A: implications for reverse shock proton synchrotron emission