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We consider a model of dark matter fluid based on a sector of Horndeskigravity. The model is very successful, at the background level, in reproducingthe evolution of the Universe from early times to today. However, at theperturbative level the model fails. To show this, we use the code$\texttt{hi_class}$ and we compute the matter power spectrum and the cosmicmicrowave background spectrum. Our results confirm, in a new and independentway, that this sector of Horndeski gravity is not viable, in agreement with therecent constraints coming from the measurement of the speed of gravitationalwaves obtained from the observation of the neutron star merger event GW170817.

Testing Horndeski gravity as dark matter with $\texttt{hi_class}$