There is no cross reference, and they are not likely going to be a direct fit. The general idea is to get a comparable horse power engine to what you had. Harbor Freight carries 6.5, 8 and 13 hp.
6.5 hp usually go for $99
8hp are $239
13hp are $359
If your original engine is a single shaft, it normally is a pretty straight forward swap. You may have to drill some mounting holes or get a different crank pulley from Tractor Supply or something.
If your original engine has 2 shafts coming out, one will drive the auger, and the other is counter rotating and drives the wheels. In this case, the engine swap would not be practical.