In RESTful APIs, interactions with a database are a common and crucial aspect. When generating whitebox tests, it is essential to consider the database's state (i.e., the data contained in the database) to achieve higher code coverage and uncover more hidden faults. This article presents novel techniques to enhance search-based software test generation for RESTful APIs interacting with NoSQL databases. Specifically, we target the popular MongoDB database, by dynamically analyzing (via automated code instrumentation) the state of the database during the test generation process. Additionally, to achieve better results, our novel approach allows inserting NoSQL data directly from test cases. This is particularly beneficial when generating the correct sequence of events to set the NoSQL database in an appropriate state is challenging or time-consuming. This method is also advantageous for testing read-only microservices. Our novel techniques are implemented as an extension of EvoMaster, the only open-source tool for white-box fuzzing RESTful APIs. Experiments conducted on six RESTful APIs demonstrated significant improvements in code coverage, with increases of up to 18% compared to existing white-box approaches. To better highlight the improvements of our novel techniques, comparisons are also carried out with four state-of-the-art black-box fuzzers.