When LAI app is installed, the Rich Snippets code (which is in charge of integrating your Google reviews data) will be automatically inserted into the code of your product page.
We would highly recommend you to use Google's structured data testing tool to check for your Rich Snippets integration (this method only works if your product has at least one review available). Under the Product Object, you will see a segment called "aggregateRating".
After your product starts to have reviews, you should be able to see the rich snippets display after 2 weeks.
Right after the installation, the app adds more information to product pages so that Google can crawl and display the star rating snippet on SERP (Search Engine Result Page). That’s why our app can’t control when the snippet is enabled. 2 weeks should be enough time for crawling and enabling snippets.