We present a NNLO+PS event generator for Higgs production via bottom-quark annihilation,
developed using the MiNNLO PS method within the Powheg framework in Ref. [1]. This study
includes detailed results for the five-flavor scheme (5FS), where the bottom quark mass is neglected,
and compares these with state-of-the-art at fixed accuracy. Additionally, we provide new results
for the four-flavor scheme (4FS) based on the work [2], where the bottom quarks are treated as
massive. Notably, we show that predictions from both the 5FS and 4FS agree at the inclusive
level, demonstrating consistency across different schemes and providing a refined description of
Higgs production in this rare channel.