The numbers on figure 3.2 are supposed to match the numbers on the transformer picture.
When you flip the board over to where the transformer is soldered to the printed circuit board, you're supposed to cross reference the corresponding numbers on the transformer to the solder points under the board.
Looking at your bottom board picture (right side of picture, bottom)
You have three solder points which are the 3-pin connector.
Above the 3 pin connector you have from left to right, four of the transformer connections, in order from left to right, 1 , 2, 4, 3. (when you turn the board over you can verify that they match the numbers on the transformer).
You can see in your underside solder-point picture that above those four solder points, you have four more solder
points that correspond to the transformer connections (again from picture left to right 5, 6, 8, 7).
Looking at the underside picture, the solder point jumper wires DO NOT match the transformer numbering points in Figure 3.2
(Which is why you're probably posting your question here).
Either somebody replaced the originally specified transformer at some point, or you have a REVISION of a unit that
your manual does not match.
I don't have the time to do it, but you have the installed transformer's identification:
Sigma Transformer 'Flathead' LP-40-300, there's probably technical data on that available on the web.
I, would contact the unit manufacturer of your device, tell them the issue, and ask for a remedy.
My guess is, your actual unit is not the one figure 3.2 was written for.
Somebody else here might be able to research your problem, but the more information you can get about the unit
you have, and the manufacturer's recommendation for converting it from 120VAC to 240VAC, would help you
or us solve this dilemma.
Figure 3.2 is clear. It just doesn't match your actual transformer wiring.
You'll need to know how that transformer is wired to do this, and a spec sheet is what's needed; or if this was a
factory installed replacement during some manufacturing revision, what the manufacturer recommends.
My magic wand won't tell me the transformer configuration/voltages from here.