I can't think of any app that does exactly what you're describing, but there are a few apps that come close.
BookSloth. BookSloth is a relatively new app that uses a variety of factors to recommend books to users, including the authors they like. It also allows users to rate and review books, which helps to improve the accuracy of the recommendations. Litsy. Litsy is a social media platform for book lovers. It allows users to share their thoughts on books they're reading, and to follow other users who have similar tastes. Litsy also has a recommendation feature that suggests books to users based on the books they've liked and reviewed in the past. Basmo. Basmo is a book recommendation app that uses a variety of factors to generate recommendations, including the user's favorite authors, genres, and topics. It also allows users to create custom recommendation lists, which can be shared with other users. I would recommend trying out a few different apps to see which one works best for you. It's also important to keep in mind that no book recommendation app is perfect. Even the best apps will sometimes recommend books that you don't end up liking. However, if you try out a few different apps and give them a chance to learn your tastes, you should be able to find one that recommends books that you enjoy reading.
In addition to using book recommendation apps, there are a few other things you can do to find new books to read:
Talk to your friends and family about books. Ask them for recommendations, and tell them about the books you're enjoying. Read book reviews in magazines and newspapers. This can help you to learn about new books and get an idea of whether or not you might like them. Visit your local library or bookstore. Browse the shelves and see if you find anything that catches your eye. Attend book clubs or author events. This is a great way to meet other people who love to read and to learn about new books.