Microsoft project management software used to plan, manage, and communicate a project schedule and other information among workgroup members, project managers, and other stakeholders.
What you have there is an Office Timeline template, and specifically one of the swimlane templates.
Office Timeline is an add in for powerpoint. It imports data from MSP or excel files into powerpoint slides, where you can easily get carried away with extra formatting to dress it up.
You can get a fair way towards it in MSP, with grouping and styles, but not exactly, such as the background shading.
If you copy the MSP data and paste it into an excel sheet and shuffle it around so it is set it up properly, you can import the data into Office Timeline and apply the template. Like this:
What the excel sheet has to look like.