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We study the reduced skewness,$S_{3,g}\equiv\bar{\xi}_{3,g}/\bar{\xi}_{2,g}^2$ of galaxy distribution at$z=0.5$ in two families of modfied gravity models: the Hu-Sawicki$f(R)$-gravity and normal-branch of Dvali-Gabadadze-Porrati (nDGP) models. Weuse a set of mock galaxy catalogues specifally designed to match CMASSspectroscopic galaxy sample. For the first time we investigate the thirdreduced moment of such galaxy distributions both in the redshift space. Ouranalysis confirms that the signal previously indicated only for dark matterhalo catalogues persists also in realistic mock galaxy samples. This resultoffers a possibility to extract a potential modified gravity signal in $S_3$from spectroscopic galaxy data without a need for a very precise andself-consistent RSD models constructed for each and every modified gravityscenario separately. We show that the relative deviations from $\Lambda$CDM~$S_{3,g}$ of various modified gravity models can vary from $7$ down to $\sim2-3\%$ effects. Albeit, the effect looks small, we show that for consideredmodels it can foster a $2-3\sigma$ falsification. Finally we argue that galaxysample of a significantly higher number density should provide even strongerconstraints by limiting shot-noise effects affecting the $S_{3,g}$ estimates atsmall comoving separations.

The skewness of z=0.5 redshift-space galaxy distribution in Modified Gravity