If you want to see the Metadata search component on lightning record page of the respective object. Let’s take an example of adding this component on an Account Record Page.
- Go to any Account Record.
- Click on Setup → Edit Page

- Under Custom-Managed list, you’ll see MetadataSearchLightningComponent, drag the component to the desired place on the layout.

- Save the page and activate it (If it’s not activated).
- You will be able to see the Metadata search component on the Account Record Page.

PS: View Metadata Search, Salesforce quick search app on Salesforce AppExchange: https://appexchange.salesforce.com/appxListingDetail?listingId=a0N30000009wgF7EAI