The concept of electrified aircraft propulsion (EAP) has been proposed and researched widely due to its potential for reduction of fuel burn, emissions and noise. Current studies main focus on the single concept or point design rather than a systematic design and verification exploration. This paper considers whether the given mission is met as evaluation criterion and proposed a mission-oriented design and verification method using Model-based Systems Engineering (MBSE). Instead of using a general modeling language, this method develops a domain-specific meta model library based on six meta-meta models for EAP. A Mission-Operational-Functional-Logical-Physical (MOFLP) modeling methodology is proposed to standardize EAP design process. In addition, the modeling process is integrated with the verification process by executable verification script. In order to verify the effectiveness of this method, a case study about skydiving mission is conducted. The case results show that this method can obtain the initial EAP solution and verify it. Such initial solution can serve as a baseline for subsequent iterative designs.