A Satisfaction of Mortgage and a Deed of Reconveyance are essentially the same thing. Where a Deed of Reconveyance is used to transfer a property title from a Trustee to a Trustor once the Trustor has paid what they owed under a Deed of Trust agreement, a Satisfaction of Mortgage does the same thing but with a loan created through a Mortgage Agreement.
Some states, like Idaho and D.C., require the use of a Deed of Reconveyance, some states require the use of a Satisfaction of Mortgage, and some states can use either. Be sure to check which document is appropriate for your state and ensure you are using a Satisfaction of Mortgage with a Mortgage Agreement or a Deed of Reconveyance with a Deed of Trust.