I need a help from someone who knows the GRTensor commands.

How do I write the last two terms of this equation of motion?How do I define Lagrangian matter, too?

My master said that I will do these calculations in the classic worksheet  maple18.

K² G_mn= (1/2) T_mn + (C₀/2) R_abgl T^ag T^bl g_mn+ 3 C₀ R_brs(mT_n)^b T^sr – C₀ L_m R_ab T^ab g_mn + C₀ R_ab T^ab T_mn+ 2 C₀  L_m R_mrns T^rs + C₀ ∇_a∇_r(T_(m^r T_n)^s)- C₀ ∇_s∇_r(T^sr T_mn)

Lm =-(1/4) F_mn F^mn