CUDA and OpenCL is a bug they did not make match AMD. I start upset you did hate me as well.

@Kent Davis (mac4kent) Both CUDA and OpenCL rendering with Cycles are currently not available on macOS in Blender 2.9x.

Unfortunately Apple has deprecated their OpenCL compiler, which is why Cycles doesn't support GPU rendering on AMD GPUs in Blender 2.80 and later. This was originally announced on Blender's bf-committers mailing list. This limitation is also documented in Blender's manual and the release notes for Blender 2.80.

AMD
OpenCL is supported for GPU rendering with AMD graphics cards. Blender supports graphics cards with GCN generation 2 and above. To make sure your GPU is supported, see the list of GCN generations with the GCN generation and supported graphics cards.

AMD OpenCL GPU rendering is supported on Windows and Linux, but not on macOS.

Due to OpenCL compiler bugs and discontinuation of OpenCL by Apple it was disabled on macOS platform. Other platforms still support OpenCL.

Similarly Nvidia stopped macOS support for the CUDA Toolkit, the last version that was release for it was 10.12. Therefore, Blender 2.90 does not include support for it. This has been announced in the release notes and is also documented in Blender's manual.

GPU rendering is only supported on Windows and Linux; macOS is currently not supported.

Until the Vulkan/MoltenVK implementation is done and Cycles can be ported to it, you may want to use an alternative render engine that already supports Apple's Metal API. For example AMD Radeon™ ProRender would be an option if you have access to an AMD graphics card.

Oh well then please remove this tab CUDA and OPENCL now.

I send report ticket on Feedback Assistant.app. I am goal Blender 2.91 Alpha and Apple make match and together processing Graphic Card.

@Kent Davis (mac4kent) There is currently work being done by a community member to bring Metal support to Blender Cycles. Metal, being developed by Apple, is less likely to end up being depreciated like CUDA and OpenCL.

Information on the progress of this patch can be found here: https://devtalk.blender.org/t/is-there-interest-in-supporting-a-metal-version-of-cycles-for-macos

However, keep in mind these things:

1. Primarily one person is working on the patch so it may take a while to get finished. That person may also decide to stop development at anytime.
2. The last time I checked, there was still a lot of work to be done before Cycles even starts working on Metal. So it may be a year or more before we see something "functional".

@Alaska (Alaska) Yes thanks you said "Metal" correct and you can check Affinity Designer and Affinity Photo that what you can see Preferences > Performance and see Display: OpenGL and Metal too.
You may ask them and they will explain to help you make match "METAL" on your Blender 2.91 and Affinity Designer and Affinity Photo is a Metal too to support AMD graphic card.

I forget put link https://forum.affinity.serif.com/

Affinity Photo see picture I take screenshot.

@Kent Davis (mac4kent) Our developers know how Metal works, it just takes time to implement support for it.

Thanks