In async mode, there's nothing much better you can do about it. The obvious advice would be to increase your clock frequency for this process.
Note that in async FIFO mode, the FT2232 maxes out at about 8MB/s best case anyway, so you'd get pretty much the max throughput you can get out of it with a process clock of 24MHz (which doesn't sound very high, but I don't know the details of your design.)
If you need higher throughput, you can consider using the synchronous FIFO mode. Note that with the sync mode of the FT2232, it's the FT2232 that provides the clock (60MHz), so you need to use a dual-port FIFO in your design (easiest path) to cross clock domains. I've used this, you can get up to 30-35MB/s sustained (as long as the host-side code is written appropriately).