The items shown when you perform a Summon will always match the Summon results you get.

 

If you accidentally skipped Summon animations or a signal issue interrupted the animations, you can check the results in your "Summon History", which can be found in the menu on the bottom left of each Summon screen.
For details on the "Summon History" feature, please see this FAQ:
Q: I want to check my Summon History.

 

If Servants, Craft Essences, or Command Codes that you summoned are not appearing in your Spirit Origin List, please see this FAQ: