Ezquiaga et al. 2020, showed that the lensing of gravitational waves(GWs) by intervening mass, in the theories beyond general relativity(GR) can mix and alter the speed of GW polarisations. As a result, the individual polarisations would reach detector with a time delay in between. In this study, we follow up on observational prospects of the scrambling of GWs, i.e when the time delay between the (+, ×) polarisations is less than the duration of signal coming from the compact binary coalescences(CBCs). We show that from the low FAR
events detected by LIGO-Virgo one can identify the birefringence caused by beyond GR lensing with the help of Bayesian inference. From the non-observation of birefringence, we additionally put constraints on the beyond-GR lensing cross-section.