Nancy, what you'll need to complete your basement bath is a sewage lift.
A sewage lift must be installed in the basement floor, consisting of a special prefabricated plastic pit, which has a sealed lid, and piping which ties to the sewer lines for venting and discharge. Inside the pit you have an emaciating pump, which is in effect a cross between a sump pump & a garbage disposal.
ALL your bath fixtures should be plumbed to this pit, along with your washer's discharge; health & building codes do not allow your regular sump to be used for grey water (sewer) movement. Your sump is only used for the removal of ground water, and in most areas cannot legally be tied to the sewer system, but must discharge to the exterior of the home.
The only alternatives to this are a few specialty toilets which have their own emaciator pumps built into a collection box-base; these can be used without need for cutting into the floor to install sewer pipe, but I don't think they can also serve your tub & other needs.