  We address the (pointed) homotopy of crossed module morphisms in modified
categories of interest; which generalizes the groups and various algebraic
structures. We prove that, the homotopy relation gives rise to an equivalence
relation; furthermore a groupoid structure, without any restriction on neither
domain nor co-domain of the crossed module morphism. Additionally, we consider
the particular cases such as associative algebras, Leibniz algebras, Lie
algebras and dialgebras of crossed modules of this generalized homotopy
definition. Then as the main part of the paper, we prove that the functor from
simplicial objects to crossed modules in modified categories of interest
preserves the homotopy and also the homotopy equivalence.
