Ok, it is clear that your transformer is not the original one. It appears to be smaller than the original. The power supply pc board has also been severely damaged and the repair does not look good. I would not advise using a transformer from a different boombox because the RC-M90 transformer is usually larger than most other boomboxes unless it is also a large one. If you want to find a replacement, you can try something like the hammond 266N12. Datasheet is attached, but you can just google it to see if you can find it locally. The 266 series are for 230/240V areas. Although the output of 266N12 is 12.6VAC, after rectification and capacitor filtering, the final DC output will be around 20VDC which is close to what the factory original AC voltage will be. Also, the 266N12 is a single primary so it is good for your area, but if your boombox has a voltage selector, that feature will not work unless you get a transformer that has multiple primary windings which significantly complicates things. That generally is only a concern if you plan to ship the boombox to an area with 120V or 100V AC systems. Otherwise, in your area EU, I would think that a 230/240 volt transformer would be fine.
Now as for your PCB, I can't make any recommendations on that because it is unclear from the photos what exactly was done there. Did the previous user make modifications or did he just bridged broken connections? It may be worthwhile to consider whether a new PCB can be made to replace it. It may be expensive but the M90 might be worth it.
Hammond Transformers