Lead score changes do not automatically sync with SFDC because the the contact's date modified is not changed when the lead score updates. Apparently there is a feature request to change this.
There is a workaround here:
Lead score changes do not automatically sync with SFDC because the the contact's date modified is not changed when the lead score updates. Apparently there is a feature request to change this.
There is a workaround here: Syncing a degraded lead score over to CRM