  In a Comment [cond-mat/0506138] on our recent e-print [cond-mat/0505106]
Liebsch claimed "excellent correspondence" between our high-precision quantum
Monte-Carlo (QMC) data for the anisotropic two-band Hubbard model with Ising
type exchange couplings and his earlier QMC results. Liebsch also claimed that
the sequence of two orbital-selective Mott transitions, identified by us in
this model, had already been reported in his earlier work. Here we demonstrate
that both claims are incorrect. We establish that Liebsch's previous QMC
estimates for the quasiparticle weight Z have relative errors exceeding 100%
near transitions and cannot be used to infer the existence of a second Mott
transition (for U_{c2}~2.5). We further show that Liebsch's attribution of our
findings to his own earlier work is disproved by the published record.
Consequently, the Comment is unwarranted; all results and formulations of our
e-print remain valid.
