Thank you for your question.
It's actually preferable that double eyelid surgery be performed without general anaesthesia.
Any eye surgery involves very fine work and millimetre differences make a big difference. The eyelid is a dynamic structure and balancing one eye with the other is difficult if the patient is asleep and unable to open their eyes.
I perform both upper and lower blepharoplasties under local anaesthesia.
Hope this helps!