Hello,
Thank you for contacting Rank Math today.
Yes the plugin with automatically add the sitelinks and searchbox schema to your homepage. Please inspect your page source to check this.
Looking forward to helping you. Thank you.
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Hello,
Since we did not hear back from you for 15 days, we are assuming that you found the solution. We are closing this support ticket.
If you still need assistance or any other help, please feel free to open a new support ticket, and we will be more than happy to assist.
Thank you.