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Non-minimal interactions in the pp-wave Einstein - Yang - Mills - Higgs(EYMH) model are shown to give rise to color cross-effects analogous to themagneto-electricity in the Maxwell theory. In order to illustrate thesignificance of these color cross-effects, we reconstruct the effective(associated, color and color-acoustic) metrics for the pp-wave non-minimalseven-parameter EYMH model with parallel gauge and scalar background fields.Then these metrics are used as hints for obtaining explicit exact solutions ofthe non-minimally extended Yang-Mills and Higgs equations for the test fieldspropagating in the vacuum interacting with curvature. The influence of thenon-minimal coupling on the test particle motion is interpreted in terms of theso-called trapped surfaces, introduced in the Analog Gravity theory.

Non-minimal pp-wave Einstein-Yang-Mills-Higgs model: color cross-effects induced by curvature