I almost didn't notice the link and thought attached pics were missing.
I don't see anything wrong, just some old darkened brown cement holding the capacitors down. There is one hairy looking spot to the top left of the capacitors but I can't tell if there is any problem there with that resistor and at the darkest spot right next to it, does it look like there should be a component there?
Generally you would measure for voltage at the capacitors to see if power is there, and measure for the audio signal along the signal path. You may have an opamp there, little DIP8 chip that is hard to read, I "think" I can almost make out "ST" and "4558" on it, so it might be an MC4558 opamp (datasheet:
https://www.st.com/resource/en/datasheet/mc4558.pdf ).
Anyway you can get the datasheet for that to see the input and output pins to follow the AC low voltage audio signal with a multimeter and check for the power on its power pins and trace that further over to the power amp ICs. Looks like it has 3 x amp ICs on that heatsink, similarly you can get the datasheets for those to determine their pinouts.
Oh, you need an input audio signal playing to measure the audio signal through it.
I did see some pictures which suggest there is supposed to be a resistor in the darkest burnt looking area, see this page and resistor position R505, though it and R506 could have delaminated copper traces on the back of the PCB that need fixed before new resistors are put in.
Also see the following replacement board, if it is compatible it might be the quick cheap fix (well, quick for you but not on a calendar if it ships on the slow boat from China). It's probably also listed on an English language version of Aliexpress' site if you look long enough...
https://ru.aliexpress.com/item/2-1-...ier-circuit-board-ED-R201TXX/32823706110.html