I don't use Canon but I do have a workflow through CameraRAW - so this may need refining by someone more familiar with Canon.
CameraRAW will by default show you only the RAW file, interpreted through Adobe's own profile, called Adobe Standard.
It may be 'standard' but it's nothing like your camera was showing you, or indeed the interpretation imposed by your own camera manufacturer's software. Canon/Nikon are the only people who actually know for certain how your photo was processed & can reproduce that immediately on-screen for you.
Adobe has to guess or reverse-engineer these profiles.
The simplest start-point is to switch to the Camera tab in CameraRAW & select a different profile...
I'm not certain where it gets these five Camera profiles - whether they're placed in the list because it knows which camera the picture came from, or if they are simply generic - but they do approximate the 5 automatic profiles on my own camera.
The next two profiles you see there are my own - made by using a ColorChecker Passport & Adobe's own software, DNG Converter & DNG Profile Editor
There is a convoluted but not actually difficult method by which you can use these to produce a profile calibrated exactly to your camera, which can automatically adjust to different lighting conditions - known as a Dual Illuminant profile.
Once you have this, it will basically cover you for most circumstances, leaving you with far less manual tweaking as you go through CameraRAW.
I will leave the full method as a link, it's far too long to even précis here - PetaPixel - ColorChecker: How to Get Perfect Skin Colors With Every Camera
but I will copy their list of 'what you need'
What you need
- A computer with a hardware-calibrated screen, preferably a Mac (as Windows has a different color management)
- Adobe Photoshop Lightroom and/or Adobe Photoshop with the newest Adobe Camera RAW plugin
- Optional: The Adobe DNG Converter (when Lightroom doesn’t recognize your camera yet)
- The Adobe DNG Profile Editor
- The X-Rite DNG ProfileManager (free download if you buy the X-Rite ColorChecker Passport)
- The X-Rite ColorChecker Passport or another ColorChecker chart
- Optional: an external calibrated light meter so you can make sure you expose the ColorChecker evenly and perfect
- A camera which shoots RAW
- A location outside at noon, under a cloudy grey sky, for making the first calibration shot
- A location inside with only a single yellowish (tungsten) light bulb, without daylight coming in, to make the second calibration shot
 The second DIY profile you see at the end of the list is a single illuminant profile for my studio work, under temperature-controlled lighting.