<p>This paper is devoted to the study of the existence and uniqueness of solutions for a class of evolutionary variational–hemivariational inequalities involving generalized history-dependent operators. The main contributions of this work are twofold. First, the notion of generalized history-dependent operators is introduced, which allows a wide range of problems with differential–integral operators to be unified under the framework of generalized history-dependent operator problems. Second, unlike most existing studies on evolutionary variational–hemivariational inequalities, where the so-called “smallness condition” is commonly imposed, we eliminate this assumption and establish the existence and uniqueness of solutions and their well-posedness through a concise mathematical analysis in Hilbert spaces.</p>