HELP Motherboard does not recognize CPU

Goodnight! With all the experience I have in the Hardware, something like this had never happened to me, it drives me crazy. I explain the problem:
I have an ASUS B75M-PLUS board (I make it clear that the BIOS is already updated to the latest version, the 1001), and I had an i3-2120 mounted on it, but it fell short and I changed it to an i5-3570s Now, if I mount the i5 the board does not give video and also the speaker don´t play the POST sound, even if you remove all RAM modules. Now comes the madness, if I return the i3 everything goes perfect, I can even play Fortnite. I have tried the i5 on another board (ASUS P8H61-PLUS) and it recognizes it perfectly, so both the i3 and the i5 work, in addition, the 2 boards also work. I'm going crazy with the board that does not catch the i5, does not support 4 core CPUs or what? I have already disconnected everything (HDD, USB, Audio, Ethernet, GPU, SATA cables) and still nothing. I have the MB outside the tower on top of some books and below an antistatic bag.
I also mentioned that I had asked for an i5-3470 and with that at least the board was turned on but it took forever to pass the POST, and when starting W10 a blue screen came out (DRIVER IRQL NOT LESS OR IQUAL) and after 4 or 5 screenshots the OS was corrupted and had to be formatted. The funny thing is that testing that i5-3470 on P8H61, it was going perfectly. Anyway, I returned it and I caught the 3570S in case it was a CPU failure, but now I don't know what to do, I have no ideas. I do not have money at the moment to change the board, although I am 100% sure it works well, I even had a slight OC with the i3. Sorry for the long post and many thanks to any blessed person who responds and contributes with whatever. A greeting!

If the CPU works in another motherboard then the CPU isn't faulty.

Have you tried clearing the CMOS?

Check the socket for potential damage. Maybe there is some unlucky pin that's needed for higher core count CPUs.

Try an older UEFI that still has support 0209+.

Otherwise pester ASUS on ASUS forum but they might not know anymore either or be willing to test and resolve such issue. They would rather have you buy a new mobo.

clear cmos... and make sure everything is set to default. that should help the post but the bsod if you had hybernation enabled try clearing the hybernation file with the i3 and better yet disable it. this should allow windows to not conflict with itself.

if that fails as suggested look for bad pins on the board

To be honest, Sandy Bridge i3 to Ivy Bridge i5 is a pretty minimal upgrade, maybe 20 to 30% at best.

Regardless though it should work. Perhaps re-flash the BIOS in case or even revert to an older version.

Yes

I checked it and there isn´t any damaged pin