I understand that you are having issues with your digital content transferring over to the Next Gen consoles. Here goes a link outlining steps that may assist you in downloading your content to the PS4: Activision Support. Please be sure to follow the steps as outlined. Deviating from the process may deliver a different result. Please let us know if this worked for you or not.
Hey! I hope this helps , this happened to me as well this is what I did!
Go to Playstation Store < Search < Free Fall < Then click on The Call of Duty Ghost game not the free fall map!
Scroll down and the map should be there, then click on it . Click on the Like button. Then go to dashboard, go to the what's new section. It should say you liked the map, now just click on it and it should say Download!!
Hope this Helps