$\pt$-differential production cross sections of non-prompt $\Dzero$ and $\Lambda_{\rm c}^+$ hadrons in pp collisions at $\s$=13 TeV compared with predictions obtained with FONLL calculations adopting $f({\rm b \rightarrow B})$ and $f({\rm b \rightarrow }\Lambda^0_{\rm b})$ fragmentation fractions measured in e$^+$e$^-$ collisions and LHCb Collaboration (left panel) and the TAMU model (right panel) combined with PYTHIA8 for the ${\rm h_b \rightarrow h_c+X}$ decay kinematics.