Jet fragmentation measurements from experiments are important to constrain current transverse-momentum-dependent fragmentation functions and hadronisation models. In these proceedings, results by the LHCb Collaboration are presented which measure the charged hadron content in $Z$-tagged jets. Firstly, as inclusive hadrons and subsequently separated into $\pi$, $K$, and $p$. Quarkonia production in jets has also been investigated, where future prospects for this analysis are also presented.