  One of the three testaments in favor of the big bang theory is the prediction
of the primordial elemental abundances in the big-bang nucleosynthesis (BBN).
The Standard BBN is a parameter-free theory due to the precise knowledge of the
baryon-to-photon ratio of the Universe obtained from studies of the
anisotropies of cosmic microwave background radiation. Although the computed
abundances of light elements during primordial nucleosynthesis and those
determined from observations are in good agreement throughout a range of nine
orders of magnitude, there is still a disparity of $^7$Li abundance
overestimated by a factor of $\sim 2.5$ when calculated theoretically. The
number of light neutrino flavors, the neutron lifetime and the baryon-to-photon
ratio in addition to the astrophysical nuclear reaction rates determine the
primordial abundances. We previously looked into the impact of updating
baryon-to-photon ratio and neutron lifetime and changing quite a few reaction
rates on the yields of light element abundances in BBN. In this work,
calculations are performed using new reaction rates for
$^3$H(p,$\gamma$)$^4$He, $^6$Li(p,$\gamma$)$^7$Be, $^7$Be(p,$\gamma$)$^8$B,
$^{13}$N(p,$\gamma$)$^{14}$O, $^7$Li(n,$\gamma$)$^8$Li and
$^{11}$B(n,$\gamma$)$^{12}$B along with the latest measured value of neutron
lifetime. We observe from theoretical calculations that these changes result in
improvement by causing further reduction in the abundance of $^7$Li than
calculated earlier.
