@erio:
Thanks for the requested details (it was difficult to see them due to current problems with the Forum software).
Since
a) the LSI RAID Controller has its own Firmware/BIOS on the related PCIe card and doesn't use any RAID module of the mainboard BIOS and
b) the ASMedia SATA RAID Controller is much less performant than the on-board Intel one,
I concentrate my recommendation on the Intel RSTe RAID BIOS modules.
According to what I could find out, your mainboard has an LGA 1150 CPU socket, but a C600+/C220+ Series Chipset with an Intel RSTe RAID Controller, whose DeviceID is DEV_2826. The preferable Intel RAID drivers and BIOS modules should belong to the RSTe v5 platform.
The Company Supermicro offers for your mainboard a package with the Intel RSTe AHCI/RAID SATA drivers v5.5.0.1360, but such Intel drivers do not exist. In reality Supermicro's package contains the Intel RSTe drivers v5.5.0.1334.
The latest Intel RSTe drivers, which belong to the v5 platform, are the v5.5.4.1036 ones (look >here<).WHQL for Win8-10< (>MIRROR<). The best matching Intel RSTe RAID BIOS modules are v5.5.5.1005 (look >here< and >here<).
My personally recommendation is to leave the mainboard BIOS as it is now and to use the add-on PCIe card with the LSI RAID Controller, if you want to create any RAID array. This way you will get the best performance and stability.

Update of the Start post
Changelog:

• new: Intel RST RAID ROM v18.35.0.4635 for modern Intel RAID Controllers with the external DeviceID DEV_2822.
Thanks to westlake for the file.
This BIOS module has been designed for the latest Intel Chipset systems from 400-Series up. Maybe it will work with Intel 300-Series chipset systems as well.

@onuracengiz:
Thanks for the linked Silicon Image RAID ROM module dated 04/06/2006 and the NVIDIA MediaShield RAID ROM v10.0.0.34 compiled by NVIDIA in 2008.
Since I doubt, that there are many owners of such old hardware and that the related user will benefit from the required BIOS modification, I will not put these BIOS modules into the start post.
This work can be done by my successor (what about you?).