Hi,
There are many ways you can achieve this,
A way you can do this is by using a bool variable, when the object is destroyed, set it to true
you can use playerprefs to save the bool but its very easy to hack.
If you want more safety you can get easy save for example.
also if you save/load with playerprefs or easy save, it is saved even when you restart the game.
if you only need it to be destroyed in the current game (so not restarting the game)
You could use a global variable instead
On the other scene you need to do a bool test to see if the object is destroyed,
if so you can destroy or disable the object.
For bigger projects that might not be the best way to do this btw.
Then you will need to learn about Scenes and loading parts of scenes.