  We explore the generalized volume complexity of odd-dimensional
asymptotically Anti-de Sitter (AdS) Myers-Perry black holes with equal angular
momenta following the complexity equals anything proposal. Initially, we
determine the codimension-one generalized volume complexity by finding the
extreme of the generally covariant volume functional. We show that its
late-time growth rate aligns with the critical momenta linked to the extremal
hypersurface. Consequently, we select the Gauss-Bonnet invariant as the scalar
function in the definition of generalized volume complexity to examine the
complexity's temporal variation. Interestingly, we note the possibility of
numerous pseudo phase behaviors intricately tied to the configurations of the
effective potentials related to the codimension-one hypersurface. Nevertheless,
the complexity shows a linear growth in the ultimate phase in every scenario.
This suggests the consistency of the complexity equals anything proposal with
respect to the AdS rotating black holes.
