Siberian Federal University

In this work, we explore a cosmological model based on Bianchi Type(BT)-VI0 spacetime within the framework of Brans–Dicke (BD) scalar–tensor theory, incorporating Barrow Holographic Dark Energy (BHDE). This entropy-corrected holographic model, defined through Barrow entropy with ex- ponent ∆, introduces quantum gravitational modifications to the standard entropy-area relation. We derive exact solutions using a hybrid scale factor and analyse key cosmological parameters, including the equation of state parameter (!b), squared sound speed (v2 s ), deceleration parameter (q), and the statefinder diagnostic pair {r,s}. The evolution of energy densities of dark matter and BHDE, as well as the dynamics in the (!b − !′ b) plane, are thoroughly examined. The results indicate that the model tran- sitions smoothly from a matter-dominated decelerated phase to a dark energy-driven accelerated phase. Notably, classical stability is achieved even without interaction, as v2 s > 0 throughout. The violation of strong energy conditions at late times supports the accelerated expansion scenario. Statefinder and (!b − !′ b) analyses place the model within the freezing dark energy class, with a transient CDM-like phase. These features highlight the physical viability of the BHDE model within an anisotropic BD cos- mology and underscore its potential to explain cosmic acceleration beyond isotropic CDM scenarios