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So rather than a recruiting pipeline for actual technical experts, they'll be recruiting linkedin "thought leaders." Good luck, I guess.
The way it works is basically the same as reserve officer recruiting, but with a higher starting rank.
You'd get in contact with an officer recruiter for the service branch you're interested in, using the normal channels. They have a deserved reputation for ghosting candidates, but they generally spend most of their effort on candidates further down the pipeline. One recommendation I got was to get in touch with an enlisted recruiter who can confirm your eligibility to serve and refer you as a qualified lead to an officer recruiter.
Air Force officer appointments are the most competitive (3-10% of people who meet all application requirements and medical qualifications are selected), and they are stingy on medical waivers.
The Navy is only slightly less competitive but reputed to be the most permissive with waivers.
One thing to know is that waivers for medical issues are issued without regard to your nonmedical qualifications. So if Jeff Bezos had a bad knee, that would disqualify even him.
"The department is considering asking chief technology officers and other senior tech professionals to take up high-ranking positions in the reserves."
This is some sort of consolidation of power.
Historically there are a lot of revolving door style career moves, but usually from the direction of active duty officers going into industry roles. And in the last decade we've also seen the flow back in reverse direction (e.g. SecDef, technically a civilian office)
While it wouldn't apply to every person serving, it seems possible to have exposure to conflicts of interest if the person's civilian job directly intersects with the industry pool where systems are being developed and procured from.