  The current paper is devoted to the investigation of the general form of the
energy-momentum pseudotensor (pEMT) and the corresponding superpotential for
the wide class of theories. The only requirement for such a theory is the
general covariance of the action without any restrictions on the order of
derivatives of the independent variables in it or their transformation laws. As
a result of the generalized Noether procedure, we obtain a recurrent chain of
the equations, which allows one to express canonical pEMT as a divergence of
the superpotential. The explicit expression for this superpotential is also
given. We discuss the structure of the obtained expressions and the conditions
for the derived pEMT conservation laws to be satisfied independently (fully or
partially) of the equations of motion. Deformations of the superpotential form
for theories with a change of the independent variables in the action are also
considered. We apply these results to some interesting particular cases:
General Relativity and its modifications, particularly mimetic gravity and
Regge-Teitelboim embedding gravity.
