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We investigate the absorption properties of reflection-asymmetric wormholesconstructed via the thin-shell formalism in Palatini $f({\cal R})$ gravity.Such wormholes come from the matching of two Reissner-Nordstr\"om spacetimes ata time-like hypersurface (shell), which, according to the junction conditionsin Palatini $f({\cal R})$ gravity, can have positive or negative energydensity. Using numerical methods we investigate several configurations thatsatisfy the junction conditions, and analyze how the parameters of the systemaffect the absorption spectra. We confirm that the absorption cross section ofwormholes at low frequencies significantly departs from that of black holes,and observe that in configurations made out of two naked singularities, theabsorption spectra exhibit new features due to the effective light ringassociated to the wormhole throat. The possibility of observing the presence ofresonances at high frequencies is also discussed.

Asymmetric wormholes in Palatini $f(\mathcal{R})$ gravity: Energy conditions, absorption and quasibound states