A third man was arrested on Friday, suspected of playing a supporting role in the murder.
One of the three men is said to have a connection to the neighborhood, reports TT.
Police spokesperson, Thomas Fuxborg, says because items, including a safe, are missing in the couple's house they believe the case started as a robbery.
The man was found in a barn and the woman in the house. The couple was supposed to attend a choir rehearsal on Thursday, but never made it.