I have sunken and hollow eyes after eyelid surgery and also eye bag removal. Is this normal?

This is a common issue. While attempting to remove fat to improve contour, often times the removal of fat can cause a hollowed appearance to the eyes.Wait until 6 months after your surgery. Consider fat grafting to the upper lid as well as fat grafting to the lower lid/cheek junction to "fill in the void" and restore the full appearance. Fat grafting is a permanent option. If you are uneasy about undergoing such a procedure, dermal fillers can be used as a temporary option that lasts 6-12 months.Best of luck.- Dr. Bryson Richards

Modern blepharoplasty does not remove or
leave residual sunken eyelids, as
one wants to retain fullness in the upper and lower

eyelids
to give a useful non-operative look. You can restore this by volumizing with
either fillers or fat restoration.

This is a common issue in a fat removal blepharoplasty.  When the fat is removed, you will often look good while the area is swollen.  Once that resolves, the lid can look sunken and darker than before. You will need to replace the volume that was removed.  Restylane or Belotero are good options for fillers.  Your other option is fat transfer.   

Fat removal during blepharoplasty can leave the eyes more hollow. It is also possible that you had hollow eyes to begin with and it became more obvious after removal of skin.  That requires adding volume around the eyes to achieve more youthful appearance. That can be accomplished by fat or filler injection (or combination). See an oculoplastic surgeon.

this is a known result of lower eyelid surgery. Without photos it is very difficult to comment and it depends on whether fat was removed or reposition and the approach - external incision or transconjunctival. Time usually improves hollowness otherwise replacing volume with fat or filler is a possibility. Condiseration should also be given to your mid face. A lot of patients I see concerned about their lower lids actually need a mid facelift to support their infraorbital volume.