Lycoming engines use a few different mount types. You should know what type the original O-360 had.
The original for aircraft is called the Conical Mount, sometimes also called a Straight Mount because the 4 mount bolts are parallel to the crankshaft.
O-290 G engines are similarly 'straight mount' but do not have the conical shape bores to accept rubber mount cushions. (Just straight bolt holes)
I have a T-18 with a John Thorp designed mount for O-290G. It's an aluminum plate collar that bolts to the engine, and 4 rubber aircraft type mount cushions connect this collar to the welded tube mount.
The second Lycoming type is called Dynafocal, with these, the mount ears are partially shaved off and the bolt holes are drilled inward toward the center of mass of the engine. The engine mount is made of a steel ring with mount cups to hold the rubber cushions at an inward angle for the mount bolts.
Switching engines from Conical to Dynafocal or back would require a complete new mount. Switching from a Conical to a G mount might be easier, or try find a G engine that has the mount ears bored to conical.
Aw heck! here is a link that better describes these mounts:
https://www.experimentalaircraft.info/a ... mounts.php