how do i add/invite members to team member management access programatically

I'm not sure I understand your question. Can you elaborate on what you're trying to do?

The term "team member management" is the name of one of the Dropbox Business API access types. That's a property of a Business API app you select when first registering the Business API app, not something you would invite other members to.

With a Dropbox Business API app registered for the "team member management" access type, you can have your app prompt a team admin to authorize the app to connect to their Business team (or you can connect it to your own team if you're a team admin). The result is an access token that can be used to access the Dropbox Business API endpoints for managing team members, such as /2/team/members/add, etc.