To perform a temple ordinance for a deceased family member, you print a family ordinance card at home and take it to the temple. Previously, these cards would be returned to you so you could use it to perform the next ordinance.
In 2020, the Temple Department implemented a policy of not returning family name cards unless requested. The purpose of this policy was to improve recording accuracy and minimize the duplication of ordinances. Since implementing this policy, recording accuracy has increased significantly, and there have been fewer incidents of ordinance duplication.
If you really want to keep a family name card, you can request at the temple that they return it to you after the completed ordinance has been recorded by temple workers.