  We investigate the strain effect along armchair and zigzag directions on the
tunneling transport of Dirac fermions in graphene laser barrier through a time
dependent potential along y-axis. Our system is composed of three regions and
the central one is subjected to a deformation of strength S. Based on Dirac
equation and the Floquet approach, we determine the eigenvalues and
eigenspinors for each region. Using the boundary conditions at interfaces
together with the transfer matrix method we identify the transmission in the
different Floquet sideband states as function of the physical parameters. In
the strainless case, we show that the transmisson of central band decreases for
smaller values of the barrier width and rapidly oscillates with different
amplitude for larger ones. Whereas the transmission for the first sidebands
increases from zero and shows a damped oscillatory profile. It is found that
the number of oscillations in all transmission channels reduces with increasing
the strength of armchair strain but becomes more important by switching the
deformation to zigzag. Moreover, it is observed the appearance of Fano type
resonance peaks by altering the amplitude and the frequency of the laser field.
