Sorry to hear you're experiencing issues with this!
Please try opening Bubble Mania and see if this helps, if it doesn't, please let me know.
Please log out of your Game Center and open Hungry Babies Mania. Then you can log back into your Game Center and open Bakery Story 2 and the sync error should have stopped. If you are still seeing sync errors, please let us know, thanks.
Please open up the regular version of Hungry Babies instead of Hungry Babies: Wildlife. This should stop the sync errors. If you're still experiencing issues, please let me know so I can look into it again for you!