  We study the holographic complexity of a pair of asymptotically dS universes
in the presence of axion matter, to characterize these observables in more
general spacetimes. The system is prepared in a two-copy Hartle-Hawking state
by slicing an Euclidean wormhole, which entangles the two universes. We derive
the evolution of codimension-1 Complexity=Anything proposals by anchoring the
probes to a worldline observer in each of the universes and connecting them
through the Euclidean wormhole. We investigate how the axion charge competes
with the cosmological constant in the time evolution of complexity. When the
complexity proposal equals the volume of an extremal surface, its evolution is
determined by the scale factor of the axion-dS universe, and as a result, the
observable might increase nearly exponentially for low axion charge, while it
decreases to a vanishing value as one approaches the maximal axion charge
allowed by de Sitter space.
