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We study new a posteriori error estimates of the mixed finite element methods for general optimal control problems governed by nonlinear parabolic equations. The state and the co-state are discretized by the high order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive a posteriori error estimates in $L^{\infty }(J;L^2\left(\Omega \right))$-norm and $L^2(J;L^2\left(\Omega \right))$-norm for both the state, the co-state and the control approximation. Such estimates, which seem to be new, are an important...