We present two redesigns to robustify backstepping control laws against dynamic uncertainties at the input of the plant. In the first redesign we construct a passivating control law from a control Lyapunov function (CLF) obtained by backstepping. The second redesign is a simplification of the first, useful for high-order systems. We also compare the stability margins of the two main versions of backstepping: cancellation and LGV-backstepping.