A large data set collected at the LHCb experiment in proton-proton collisions during Runs 1 and 2 of the Large Hadron Collider has opened a unique possibility to study heavy beauty hadron states and to broaden knowledge of their spectroscopy and production. Recent results on searches for new excited $\rm{b}$-hadron states, and studies of $\rm{b}$-hadron production, are reviewed. In particular, the observation of new excited $\Omega_{\rm{b}}^-$ states, the observation of two new narrow $\Lambda_{\rm{b}}(6146)^0$ and $\Lambda_{\rm{b}}(6152)^0$ states, the observation of new $\Lambda_{\rm{b}}^{**}$ state consistent with the $\Lambda_{\rm{b}}(2\rm{S})^0$ prediction, a precise measurement of the mass and width of $\Lambda_{\rm{b}}(5912)^0$ and $\Lambda_{\rm{b}}(5920)^0$ states, and a measurement of the $\rm{B}_{\rm{c}}^-$ meson production fraction and $\rm{B}_{\rm{c}}^--\rm{B}_{\rm{c}}^+$ production asymmetry in 7 and 13 TeV of proton-proton collisions are presented.