  We study the late-time behaviors of pseudo-(R\'enyi) entropy of locally
excited states in rational conformal field theories (RCFTs). To construct the
transition matrix, we utilize two non-orthogonal locally excited states that
are created by the application of different descendant operators to the vacuum.
We show that when two descendant operators are generated by a single Virasoro
generator acting on the same primary operator, the late-time excess of
pseudo-entropy and pseudo-R\'enyi entropy corresponds to the logarithmic of the
quantum dimension of the associated primary operator, in agreement with the
case of entanglement entropy. However, for linear combination operators
generated by the generic summation of Virasoro generators, we obtain a distinct
late-time excess formula for the pseudo-(R\'enyi) entropy compared to that for
(R\'enyi) entanglement entropy. As the mixing of holomorphic and
antiholomorphic generators enhances the entanglement, in this case, the
pseudo-(R\'enyi) entropy can receive an additional contribution. The additional
contribution can be expressed as the pseudo-(R\'enyi) entropy of an effective
transition matrix in a finite-dimensional Hilbert space.
