Connecting LCD Display with I2C USB Connector
You have a display module that is controlled via I2C interface. Then you have a USB-to-I2C bridge controlled from USB end. How to start?

First, you need to study the set and format of I2C commands that are needed to display something. It should be in the user manual for the display controller.

Second, you need to figure out the USB format that converts USB into I2C, to generate proper I2C strings. Usually USB-to-I2C devices come with a library of proper I2C calls, so you don't need to study physical interface. But you will need to understand the format of library calls. Just a FTDI driver does nothing to help here, it is just a driver. You need an application-layer I2C library to send proper USB packets, which will be transformed into I2C packets at the other end of FTDI bridge. Consult with Appnote AN_255 about details of how to initiate the process.

Then you will have a challenge to generate correct I2C commands that the display will understand, using those USB-I2C libraries. The best way to ensure correct bits and bytes is to monitor the actual I2C bus activity with a simple logic analyzer with I2C protocol decoder, like Saleae analyzers. You can get cheap clones of their older versions on e-Bay or DX.com,



If the datasheet for the display is unclear (as it usually is), a good strategy would be to get an Arduino native I2C tutorial and demo, and capture correct I2C sequences, and then master the USB calls to match the I2C output. It might save you a lot of development time.

EDIT: It looks like the format of Funduino controller (from I2C to parallel 1602A display interface) is not disclosed. So the only way would be to reverse engineer the "LCD Arduino (tm) Library" from circuitattic.com, and write the USB (con)version of it.