Well unless it's seasonal goals that go away after certain amount of time they stay forever (or until you comeplete them). Out of curiosity what those goals require you to do?
Those were the goals that were with Kyoko. You served one serving of the Biscuit Sticks and Mochi and got two quick serves a piece.
I have no clue how you would get them off your goal list. Did you unlock these recipes on your cart? Perhaps try deleting all and reinstalling?
I just had to do a few collections of dishes and I had the time to do so, so I would have finished and unlocked the recipes in time, but the goals randomly disappeared earlier than they were supposed to, so I missed out and the recipes never unlocked.
Thank you for your suggestion - I have deleted and re-installed, but the goals still remain in my list.
These goals were for the previous quest - Culinary Companion (April 2016) and this quest is over. If you didnt complete the quest previously, you can ignore these goals and let them expire. Hope this helps.
They will expire in a while. Just ignore them for now.