  In this paper we propose an alternative cosmography by considering
Horava-Lifshitz gravity as a model of quantum gravity to search for quantum
effects at the cosmological level. For our analyses we consider current late
universe surveys and a Gravitational Waves forecast from Einstein Telescope. We
found naturally a non-flat scenario with $\Omega_k =-0.021^{+0.023}_{-0.029}$
with $H_0 = 71.904^{+1.406}_{-1.347}$, without showing the standard reported
$3.4$-$\sigma$ inconsistency. Furthermore, we obtained a specific value for the
Ho\v rava parameter $\omega \approx -3.8\times 10^{-14}$, which can be
interpreted as a measure of a quantum effect and could be used to further test
this quantum gravity model. We conclude that classically, according to the
$\Lambda$CDM model, our universe seems to be spatially flat, but in fact, it is
curved from a quantum point of view.
