The Herglotz-type Noether theorems for the Vacco dynamics of second-order nonholonomic systems are studied.Firstly, based on the Herglotz generalized variational principle, the Herglotz-type differential equations of motion for Vacco dynamics of second-order nonholonomic systems are established.Secondly, according to the non-isochronous variation formulas of Hamilton-Herglotz action, the concepts of Herglotz-type Noether symmetry and quasi-symmetry and their criterion equations for Vacco dynamics of second-order nonholonomic systems are given, and the Herglotz-type Noether theorems and their inverse theorems are further derived.Finally, an example is given to illustrate the application of the results.