  Emergence of an orbital-selective Mott phase (OSMP) found in multi-band
correlated systems leads to a non-perturbative obliteration of the Landau Fermi
liquid in favor of a novel metallic state exhibiting anomalous infra-red
(branch-cut) continuum features in one- and two-particle responses. We use a
combination of $(1)$ dynamical mean-field theory (DMFT) using the
continuous-time-quantum Monte-Carlo (CTQMC) solver for a two-band Hubbard model
and $(2)$ analytic arguments from an effective bosonized description to
investigate strange metal features in inelastic neutron scattering studies for
cuprates. Specifically, restricting our attention to symmetry-unbroken metallic
phase, we study how emergence of an OSMP leads to qualitatively novel features
in $(i)$ the dynamical spin and charge susceptibilities, and $(ii)$ phonon
response in the strange metal, in detail. Extinction of the Landau
quasiparticle pole in the one-electron propagator in the OSMP mirrors the
emergence of critical liquid-like features in the dynamical spin response. This
novel finding also underpins truly anomalous features in phonon dynamics, which
we investigate by coupling half-breathing phonons in the specific context of
cuprates to such a multi-electronic continuum. We find good understanding of
various anomalies encountered in experimental inelastic neutron scattering
studies in the near-optimally doped cuprates. We also extend these results in a
phenomenological way to argue how modification of phonon spectra in underdoped
cuprates can be reconciled with proposals for a nematic-plus-d-wave charge
modulation order in the pseudogap state. We also study the issue of the
dominant "pair glue" contributions to superconductivity, allowing us to
interpret recent pump-probe results within a strange metal scenario.
