Everything a user interacts with is technically theirs, but would “my” or “your” make more sense? More often than not, we prefer neither.
Read John Saito’s excellent post for a summary of the issue.
Hudl’s stance on how to orient a UI toward users’ content, features, etc., goes like this:
These/those are the plural forms of this/that and behave in the same way. This is used to identify a nearby person, thing or experience. That refers to the more distant of two things or a specific thing previously mentioned.
If you need to refer to an element on the same screen, use “this” and “these” (e.g., “No results found for these filters.”).