Shapr cannot correctly project to anything but a flat face for now. We have high hopes…
Workaround is needed. A couple ways exist. My way is quick and dirty. I’m in my skibbies and flip flops drinking coffee (6am here), I will slip out to my office under cover of darkness in a little and show you my method. (My office is literally 6 feet away and the neighbors never mention my scantly dressed transgression to their eyeballs. I’m big, hairy and mean looking so eventually there might be a call to the authorities. I’ll play senile). (Come to think about it, if I strap a side arm on I’ll probably just blend in with the locals and the authorities won’t respond 
)
The other way is much more difficult but “might” yield a better result depending on your use. Accurate method to wrap a sketch to a cylinder
The latter method works on a cylinder but I am not sure it works so well on a tapered cylinder such as your cup. I suspect there will be distortions no matter what you do. But you could perform the method on a cylinder and then scale the bottom smaller like your pint/ shot glass?