  We address the question of universes inside a $\Lambda$ black hole which is
described by a spherically symmetric globally regular solution to the Einstein
equations with a variable cosmological term $\Lambda_{\mu\nu}$, asymptotically
$\Lambda g_{\mu\nu}$ as $r\to 0$ with $\Lambda$ of the scale of symmetry
restoration. Global structure of spacetime contains an infinite sequence of
black and white holes, vacuum regular cores and asymptotically flat universes.
Regular core of a $\Lambda$ white hole models the initial stages of the
Universe evolution. In this model it starts from a nonsingular nonsimultaneous
big bang, which is followed by a Kasner-type anisotropic expansion. Creation of
a mass occurs mostly at the anisotropic stage of quick decay of the initial
vacuum energy. We estimate also the probability of quantum birth of baby
universes inside a $\Lambda$ black hole due to quantum instability of the de
Sitter vacuum.
