You may be able to test the small transformer with a basic multimeter, set to AC voltage readings. One would expect something in the 12 to 24VAC range if it drives a DC motor. From your picture, it shows 220V input and 24V AC output. I suspect the two blue wires are the 24V winding. Check the input voltage first, to make sure the transformer is getting power in the first place. If so, measure the secondary voltage. From there, one has to trace it on the circuit board.
Upon further review, it looks like that transformer is simply supplying the 24VDC to energize the two large relays. The motor feed seems to come from CN2. and may be related to feed from CN3. What feeds CN3?