TimeHorse it is the HTTPS
conditions which seem to be throwing it off.
I'm not sure of the reason for that just yet, but I'll look into it further.
In the meantime, I've checked your site configuration in the Opalstack dashboard and I can see that you have HTTPS redirection enabled for the site. This means that all traffic will be directed to HTTPS by the time the request reaches Apache. Since the requests are guaranteed to be HTTPS at that point there's no need to check that condition in .htaccess
so the following should work:
RewriteEngine on
RewriteCond %{HTTP_HOST} ^google\.jeffreycjacobs\.com
RewriteRule ^(.*)$ https://www.google.com/search?q=\%2b"TimeHorse" [R=302,L,NE,QSA]
RewriteCond %{HTTP_HOST} ^timehorse\.jeffreycjacobs\.com
RewriteRule ^(.*)$ https://www.timehorse.com/$1 [R=302,L]
I'll follow up when I've sorted out the problem with the HTTPS conditions.