I am currently looking for the Split/Rotate/Cut/Reshape tools in the toolbar control provided by ESRI, however according to ArcGIS Engine commands page there isn't one.
Is it called something else or does it only exist in ArcEditor?
There are built-in commands available in ArcEngine for rotate: ControlsRotateLeftCommand, ControlsRotateElementTool, ControlsRotateRightCommand. You are correct, the rest are only supported in ArcMap. Take a look at ArcEngine editing for the remaining tasks.
