We study the large-scale anisotropic two-point correlation function using 46,760 luminous red galaxies at redshifts 0.16 – 0.47 from the Sloan Digital Sky Survey . We measure the correlation function as a function of separations parallel and perpendicular to the line of sight in order to take account of anisotropy of the large-scale structure in redshift space . We find a slight signal of baryonic features in the anisotropic correlation function , i.e. , a “ baryon ridge ” corresponding to a baryon acoustic peak in the spherically averaged correlation function which has already been reported using the same sample . The baryon ridge has primarily a spherical structure with a known radius in comoving coordinates . It enables us to divide the redshift distortion effects into dynamical and geometrical components and provides further constraints on cosmological parameters , including the dark energy equation-of-state . With an assumption of a flat \Lambda cosmology , we find the best-fit values of \Omega _ { m } = 0.218 ^ { +0.047 } _ { -0.037 } and \Omega _ { b } = 0.047 ^ { +0.016 } _ { -0.016 } ( 68 % CL ) when we use the overall shape of the anisotropic correlation function of 40 < s < 200 { \hbox { $~ { } h ^ { -1 } $ } { ~ { } Mpc } } including a scale of baryon acoustic oscillations . When an additional assumption of \Omega _ { b } h ^ { 2 } = 0.024 is adopted , we obtain \Omega _ { DE } = 0.770 ^ { +0.051 } _ { -0.040 } and w = -0.93 ^ { +0.45 } _ { -0.35 } . These constraints are estimated only from our data of the anisotropic correlation function , and they agree quite well with values both from the cosmic microwave background ( CMB ) anisotropies and from other complementary statistics using the LRG sample . With the CMB prior from the 3 year WMAP results , we give stronger constraints on those parameters .