The new complexion solutions of the variable coefficients coupling correction modified Korteweg-de Vries (VCmKdV) equations with forced items are constructed in two steps, and the interaction with the solutions is analyzed. Some kinds of new solutions of a nonlinear ordinary differential equation are put forward. The method combing the function transformation with a nonlinear ordinary differential equation is proposed, and the new complexion solutions consisting of exponential functions, trigonometric functions and rational functions of the VCmKdV equation with forced items are constructed. These solutions include the complexion solutions composed of the soliton solutions and period solutions, two soliton solutions and two period solutions.