  Recently, GRB 221009A, known as the brightest of all time (BOAT), has been
observed across an astounding range of $\sim 18$ orders of magnitude in energy,
spanning from radio to VHE bands. Notably, the Large High Altitude Air Shower
Observatory (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 band
alongside late-time multi-wavelength data poses a significant challenge. Our
approach involves a two-component structured jet model, consisting of a narrow
core dominated by magnetic energy and a wide jet component dominated by matter.
We show that the combination of the forward shock electron synchrotron
self-Compton emission from both jets and reverse shock proton synchrotron
emission from the wide jet could account for both the energy flux and spectral
evolution in the VHE band, and the early TeV lightcurve may be influenced by
prompt photons which could explain the initial steep rising phase. We noticed
the arrival time of the highest energy photons detected by LHAASO-KM2A
coincident with the peak of the reverse shock proton synchrotron emission,
especially a minor flare occurring about $\sim500-800$ seconds after the
trigger, coinciding with the observed spectral hardening and arrival time of
the $\sim 13\rm~TeV$ photons detected by LHAASO. These findings imply that the
GRB reverse shock may serve as a potential accelerator of ultra-high-energy
cosmic rays, a hypothesis that could be tested through future multimessenger
observations.
