The correct order of project phases according to the Project Management Institute (PMI) and other standard project management methodologies is:
Initiation: This phase involves defining the project at a high level and getting approval to start.
Planning: In this phase, detailed planning is done to set the project's scope, objectives, and procedures.
Executing: This phase is where the project plan is put into action and the project deliverables are created.
Monitoring and Controlling: This phase involves tracking, reviewing, and regulating the project’s progress and performance, ensuring that everything aligns with the project plan.
Closing: This is the final phase, where the project is formally closed, and final deliverables are handed over.
References
Project Management Institute, "A Guide to the Project Management Body of Knowledge (PMBOK Guide)," PMI.
Harold Kerzner, "Project Management: A Systems Approach to Planning, Scheduling, and Controlling," Wiley.