If you have expired from your team you will need to login to your account where you will see a card that says "Renew Your Affiliation."
Click renew on that card and it will take you to your profile. Under Affiliations click the "Renewal Required" or "Renew now" button next to the affiliation needing renewed.
That will now allow you to re-apply to that team. The re-application is the same as the original and requires that you provide updated documentation. Once the application is processed, that information is archived and the documents are not valid for subsequent applications.