  We investigate the long-time asymptotics for the solutions to the Cauchy
problem of defocusing modified Kortweg-de Vries (mKdV) equation with finite
density initial data. The present paper is the subsequent work of our previous
paper [arXiv:2108.03650], which gives the soliton resolution for the defocusing
mKdV equation in the central asymptotic sector $\{(x,t): \vert \xi \vert<6\}$
with $\xi:=x/t$. In the present paper, via the Riemann-Hilbert (RH) problem
associated to the Cauchy problem, the long-time asymptotics in the soliton-less
regions $\{(x,t): \vert \xi \vert>6, |\xi|=\mathcal{O}(1)\}$ for the defocusing
mKdV equation are further obtained. It is shown that the leading term of the
asymptotics are in compatible with the ``background solution'' and the error
terms are derived via rigorous analysis.
