  We use the IllustrisTNG300 hydrodynamical simulation to study the dependence
of the galaxy two-point correlation function on a broad range of secondary halo
and galactic properties. We construct galaxy mock catalogues using a standard
sub-halo abundance matching scheme coupled with a secondary assignment between
galaxy colour or specific star formation rate and the following halo
properties: starvation redshift z$_{\rm starve}$, concentration at infall, dark
matter density contrast $\delta_R^{\rm env}$, tidal anisotropy $\alpha_R$, and
tidal overdensity $\delta_R$. The last two quantities allow us to fully
characterise the tidal field of our haloes, acting as mediators between their
internal and large-scale properties. The resulting mock catalogues return
different levels of agreement with the IllustrisTNG300 measurements and
strongly depend on the secondary halo property employed. Among all the
secondary halo properties tested, we find that z$_{\rm starve}$ and $\delta_R$
are the ones that best trace the large-scale structure, producing reliable
clustering predictions for different samples of red/blue and
quenched/star-forming galaxies.
