  In this paper we have discussed the modified gravity and scalar field DE
model specifically DBI essence model with the analysis of thermodynamics during
cosmological evolution. We have used the modified gravity with the form
f(R,T)=R+2\Lambda T in our calculations. The basic aim behind this paper is to
discuss a theory that unifies modified gravity with DE models including the
solutions of some cosmological problems like thermodynamics energy conditions
violation problems, finite time future singularity problems, initial
singularity problem, Cosmic inflation problem, decelerated expansion problem,
graceful exit problem, reheating problem, bouncing nature problem, phase
transformation-spontaneous symmetry breaking problem, negative heat capacity
paradox problem and obviously the present day universe problems (Continuously
decreasing temperature problem, present day DE dominated expansion problem). We
have established the viscous effects (both positive and negative viscosity) in
our calculation and discussed the negative-positive viscosity by introducing
two special type of energy cycles. Finally, we have discussed the stability
conditions for universe evolution through cosmic perturbation and resolved the
instability problems. We have also shown the state finder trajectories for both
with and without viscous fluid on the basis of our calculations to compare our
research with the results of other independent DE models
