No idea what specific motor it is. It looks like and open frame 3 pole motor and it would have a permanent magnet field. Total amperage requirements for this style motor plus the smoke unit would be at least 4A. A 5A rated Dallee unit should be adequate. The Dallee should just have 2 AC from track inputs and 2 DC to motor outputs. Were it my engine I would put a standard 4 pin plug and jack on the engine and use the additional 2 wires to supply AC track power directly to the light and smoke unit rather than use the DC power.
The Dallee board will have a smaller load and the smoke unit will work just as well.