  Dynamical decoupling protocols are one of the most used tools for efficient
quantum error corrections and for reservoir engineering. In this paper we study
the effect of dynamical decoupling pulses on the preservation of both quantum
and classical correlations, and their influence on the intriguing phenomenon of
time-invariant discord. We study two qubits experiencing local dephasing with
an Ohmic class spectrum and subject to dynamical decoupling protocols. We
investigate the connection between the dynamics of both classical and quantum
correlations and the behaviour of information flow between system and
environment. Finally, we establish a set of necessary conditions for which
time-invariant discord can be created using dynamically decoupling techniques.
