Things are not quite right. You do seem to have the right sound device 
picked out, but you need to pass all the devices.

Here's  your relevant IO group:
IOMMU Group 11:
         00:1f.0 ISA bridge [0601]: Intel Corporation Tiger Lake-LP LPC 
Controller [8086:a082] (rev 20)
         00:1f.3 Multimedia audio controller [0401]: Intel Corporation 
Tiger Lake-LP Smart Sound Technology Audio Controller [8086:a0c8] (rev 20)
         00:1f.4 SMBus [0c05]: Intel Corporation Tiger Lake-LP SMBus 
Controller [8086:a0a3] (rev 20)
         00:1f.5 Serial bus controller [0c80]: Intel Corporation Tiger 
Lake-LP SPI Controller [8086:a0a4] (rev 20)

Your kernel command only lists your sound card. It should all of the 
devices in this group.

For example, I have:
vfio-pci.ids=8086:068d,8086:06c8,8086:06a3,8086:06a4

Yours needs to be:
vfio-pci.ids=8086:a082,8086:a0c8,8086:a0a3,8086:a0a4

In my experimentation in getting this to work, I also did not set 
"iommu=pt". You might try removing that as well.

> Yeah, here is the results:
>
> -Result from script:
> ./test.sh
> IOMMU Group 0:
>          00:00.0 Host bridge [0600]: Intel Corporation 11th Gen Core
>          Processor
> Host Bridge/DRAM Registers [8086:9a14] (rev 01)
> IOMMU Group 1:
>          00:02.0 VGA compatible controller [0300]: Intel Corporation UHD
> Graphics [8086:9a49] (rev 01)
> IOMMU Group 2:
>          00:04.0 Signal processing controller [1180]: Intel Corporation
>          Device
> [8086:9a03] (rev 01)
> IOMMU Group 3:
>          00:06.0 PCI bridge [0604]: Intel Corporation 11th Gen Core Processor
> PCIe Controller [8086:9a09] (rev 01)
> IOMMU Group 4:
>          00:07.0 PCI bridge [0604]: Intel Corporation Tiger Lake-LP
>          Thunderbolt
> PCI Express Root Port #2 [8086:9a27] (rev 01)
> IOMMU Group 5:
>          00:08.0 System peripheral [0880]: Intel Corporation Device
>          [8086:9a11]
> (rev 01)
> IOMMU Group 6:
>          00:0d.0 USB controller [0c03]: Intel Corporation Tiger Lake-LP
> Thunderbolt USB Controller [8086:9a13] (rev 01)
>          00:0d.3 USB controller [0c03]: Intel Corporation Tiger Lake-LP
> Thunderbolt NHI #1 [8086:9a1d] (rev 01)
> IOMMU Group 7:
>          00:14.0 USB controller [0c03]: Intel Corporation Tiger Lake-LP USB
>          3.2
> Gen 2x1 xHCI Host Controller [8086:a0ed] (rev 20)
>          00:14.2 RAM memory [0500]: Intel Corporation Tiger Lake-LP Shared
>          SRAM
> [8086:a0ef] (rev 20)
> IOMMU Group 8:
>          00:14.3 Network controller [0280]: Intel Corporation Wi-Fi 6 AX201
> [8086:a0f0] (rev 20)
> IOMMU Group 9:
>          00:15.0 Serial bus controller [0c80]: Intel Corporation Tiger
>          Lake-LP
> Serial IO I2C Controller #0 [8086:a0e8] (rev 20)
> IOMMU Group 10:
>          00:16.0 Communication controller [0780]: Intel Corporation Tiger
> Lake-LP Management Engine Interface [8086:a0e0] (rev 20)
> IOMMU Group 11:
>          00:1f.0 ISA bridge [0601]: Intel Corporation Tiger Lake-LP LPC
> Controller [8086:a082] (rev 20)
>          00:1f.3 Multimedia audio controller [0401]: Intel Corporation Tiger
> Lake-LP Smart Sound Technology Audio Controller [8086:a0c8] (rev 20)
>          00:1f.4 SMBus [0c05]: Intel Corporation Tiger Lake-LP SMBus
>          Controller
> [8086:a0a3] (rev 20)
>          00:1f.5 Serial bus controller [0c80]: Intel Corporation Tiger
>          Lake-LP
> SPI Controller [8086:a0a4] (rev 20)
> IOMMU Group 12:
>          01:00.0 Non-Volatile memory controller [0108]: Samsung Electronics
>          Co
> Ltd Device [144d:a809]
>
> -cat /proc/cmdline
> initrd=\EFI\Pop_OS-b0da9465-3702-45ac-91d3-7ca24016e875\initrd.img
> root=UUID=b0da9465-3702-45ac-91d3-7ca24016e875 ro quiet loglevel=0
> systemd.show_status=false splash pci-stub.ids=8086:a0c8 iommu=pt
> intel_iommu=on
>
> -The audio controller seems to appear in "Other devices->Multimedia Audio
> Controller" with the small sign on it telling me there is a problem (driver)
> with it. I checked other device to see if there is something odd but all
> other
> stuff seems legit in Device Manager...
>
> -Downloaded the driver from Lenovo website and double check it is the good
> one
> (there is so much similar name in Lenovo website...). 13S Gen2 ITL
>
> https://support.lenovo.com/us/en/downloads/ds546687-realtek-audio-driver-for-windows-10-64-bit-thinkbook-13s-g2-itl-thinkbook-14s-g2-itl
>