Geneious databases are stored separately from the application itself, in a folder called Geneious X.Y Data on Windows and Mac or .geneiousX.Ydata on Linux (where X.Y are version numbers). For example a database for Geneious Prime 2019 will be called Geneious 2019.0 Data, and a database for Geneious 11.1 will be called Geneious 11.1 Data.
Geneious databases are located in the user’s home directory by default (e.g. /Users/username/Geneious 2019.0 Data).