Got my second children, but no trophy.
The badge appeared.
When i was taking the screenshots, i notice the earned date of all badges show the date of A Full House badge.
But when i got it, the dates are correct.
#Playstation 5 - A Full House trophy
sharp minnow
After the badge, spent the day, and sleep. Tried to close the game and open again. Nothing.
Spend more three days and nothing.
willow willow
Hi @sharp minnow , we have received similar reports and our team are currently working on a fix! Hopefully the issue can be resolved soon
I'll update you here once the issue has been resolved. In the meantime, thank you for your patience and understanding 
sharp minnow
Delivered the last Fossil. And a new problem. Neither the badge or trophy pop.
Better to open other case?
willow willow
Delivered the last Fossil. And a new problem. Neither the badge or trophy pop.
I'm sorry to hear that you encounter another problem! We have fixed this issue on the latest version of Steam and are currently working to include it in future PS5 hotfix, we'll certainly announce it once it's released 😉