While Tatango can't take customers' mobile phone numbers that have interacted with your Autoresponder and put them in one of your lists, you can give customers the option to subscribe to one of your lists after they receive your Autoresponder response. To do this, you'll first want to create a List, and an SMS Keyword for that list . Then you'll want to instruct customers in your Autoresponder Response Message to reply with your lists SMS keyword in order to opt-in. You can see what this would look like below, where the Autoresponder keyword is "LUCKY" and the List Keyword is "DINER".
Your customers will have to respond to your Autoresponder Response with your List SMS Keyword to subscribe to your list. When they respond with your list SMS Keyword, they'll receive whatever your opt-in message for your List is, or if you've setup a double opt-in for your list, it will ask the customer for whatever required information you're asking from them, before they're opted-in.