It's good that they got there. Based on people's past experience posted above, if everything is in order with your applications, you should see the application status updated in the next week or two. New Orleans doesn't seem to be an outlier compared to other processing locations. When you receive your new passports, please post to let us know a) if they are NextGen (new design with the passport number printed in perforated type on each interior page) or E-passports (old design -- no perforated number, more colorful data page) and b) from where they were mailed to you.