Lorentz Invariance Violation (LIV) has been predicted by theories of quantum gravity (QG) with energy-dependent speed of light. A way to look for such effect is from astrophysical sources like gamma-ray bursts (GRBs), which have already allowed us to put a lower bound on the quantum gravity energy. In this proceeding, we review our recent work on LIV from GRBs in which we account for the cosmology by including robust cosmological datasets and allowing for different dark energy models. We have found for the quantum gravity energy \(E_{QG} \ge 10^{17}\) GeV for both time-delay (TD) datasets we employ, with the second dataset being more sensitive to the cosmological model. It has been observed that adding the TD points makes the combined parameter \(c/(H_0r_d)\) smaller than the expected value. We examine further this effect here, showing its relation to the value of the matter density making it particularly important for cosmological studies.