Each character has multiple fatalities that they can perform at the end of the match in Mortal Kombat 9 (2011 version) for the PS3 and Xbox 360.
This is the list of fatalities, and the babality and stage fatality for Sindel.
All of these moves can be unlocked and added to your moves list by performing them in either Arcade Mode or Versus Mode.
Check out these complete fatality guides for more finishing moves:
Fatalities and babalities for Mortal Kombat on Xbox 360
Fatalities and babalities for Mortal Kombat on PS3
Sindel’s Fatalities & Finishing Moves
Xbox 360
Migraine — Back, Forward, Down, Forward, X while in sweeping distance
Mouthful — Back, Forward, Up, Y while in sweeping distance
Babality — Down, Down, Down, Up in jumping distance
Stage Fatality — Down, Down, Down, X at close range
PS3
Migraine — Back, Forward, Down, Forward, Square while in sweeping distance
Mouthful — Back, Forward, Up, Triangle while in sweeping distance
Babality — Down, Down, Down, Up in jumping distance
Stage Fatality — Down, Down, Down, Square at close range