  We make predictions for the ratios of branching fractions of ${\bar B}^0$ and
${\bar B}^0_s$ decays into $J/\psi$ and the scalar mesons
$f_0(1370),~f_0(1710)$ or tensor mesons $f_2(1270),~f'_2(1525),~K^*_2(1430)$.
The theoretical approach is based on results of chiral unitary theory where
these resonances are shown to be generated from the vector meson-vector meson
interaction. Eight independent ratios can be predicted and comparison is made
with the recent data on $\bar{B}^0_s$ decay into $J/\psi f'_2(1525)$ versus the
$\bar{B}^0_s$ decay into $J/\psi f_2(1270)$.
