  We investigate the dynamics of quantum discord and concurrence between two
excitonic qubits placed inside two coupled semiconductor quantum dots
independently interacting with dephasing reservoirs. We explore their behavior
against the dimensionless time and the temperature in both Markovian and
non-Markovian environments. Moreover, we analyze the external electric field
effects and the F\"orster interaction effects on these correlations. We show
that, although the quantum correlations amount is strongly influenced by the
variation of the electric field and the F\"orster interaction, their
non-Markovian behavior is still preserved under the variation of these two
parameters. Furthermore, we show that for large values of temperature and
dimensionless time, unlike concurrence which vanishes, nonzero discord can
still be observed.
