In recent years, Fast Radio Bursts (FRBs) have been established as a direct probe of the Universe's visible matter. While their origins are still elusive, their observed dispersion measures trace the integrated ionised electron density along the line of sight. Upcoming radio surveys, such as the DSA, CHORD, and the SKAO, are expected to deliver 100,000 additional events. Their direct sensitivity to the Universe's baryon content allows FRBs to trace astrophysical processes that redistribute matter within and around galaxies. As a result, FRBs offer an alternative way to bridge astrophysics and cosmology, providing new constraints on feedback mechanisms that currently limit our ability to extract cosmological information from photometric large-scale structure surveys.

In this talk, I will briefly review the current status of large-scale structure cosmology and introduce FRBs as cosmological probes. I will discuss how FRBs can test both the Universe's background expansion and the distribution of baryons in large-scale structure. Using a currently available sample of localised FRBs, I will present constraints on baryonic feedback and the suppression of the matter power spectrum, demonstrating that only 100 FRBs can distinguish between feedback models. I will also address future prospects for FRB cosmology, outlining key challenges and systematic uncertainties. Finally, I will explore synergies with Stage IV surveys and discuss how FRBs can serve as a crucial external calibration for baryonic feedback, enhancing the fidelity of cosmological surveys.