Is it possible to synchronize the mark as read status of team feeds for each team member?
Not at this point: Team feeds allow multiple users to share the same list of sources but the read markers are specific to each user.
In other words, each team member has its own individual read marker
A few users have requested an option to have a shared read marker to some feeds. This is something we are exploring but we haven't built this yet. If you're interested in this feature, please send us an email to email@example.com.