  To constrain the universe before recombination (380000 years after the Big
Bang), we mostly rely on the measurements of the primordial abundances that
indicate the first insight into the thermal history of the universe. The first
production of the light elements is obtained by the Big Bang Nucleosynthesis
(BBN). The production of the elements deuterium, helium-3, and helium-4 during
BBN matches well the observations; however, the production of lithium
(Lithium-7) based on the Standard Big Bang Nucleosynthesis (SBBN) is found to
be higher by about a factor of three than the observed abundance from
metal-poor halo stars. This so-called "Cosmological Lithium Problem" is still
elusive and needs to be resolved. One important attempt to resolve this problem
is to invoke a non-standard description of the SBBN to decrease the lithium
abundance. In our previous work, we encountered a problem that the decrease in
the Lithium-7 abundance requires an increase in the deuterium abundance to
maximum values that are not accepted by observations. In the present work, a
decrease in the lithium abundance could be achieved without maximizing the
deuterium abundance by modifying the time-temperature relation in the range
(0.43-0.91) GK during the nucleosynthesis process. This range is crucial to
reducing the strong correlation between lithium and deuterium production. The
main conclusion of the present work is that Lithium-7 abundance in the
atmospheres of metal-poor stars cannot be analyzed without considering possible
modifications to the primordial nucleosynthesis.
