Welcome to the Pet Rescue Community
Do you need help with your game? Ask the Community for help.
This is normal with boosters. They don't transfer, they only ever appear on the device that you win/buy them on.
If you only have the one friend then the only other option you have is to pay gold bars.
You can go play on King.com where you can synchronize your levels in the settings and also you get assigned random friends, so you have more people to help you out.