FMLE uses Directshow filters for its audio and video. The problem you are having is that the AVerMedia 7231 Analog Capture is buggy. You can narrow down the problem like this.
1) Run graphedit.exe or a similar graph building program. This application is within the tools of microsoft directshow. However, you can download alternatives on the internet.
2) Add the AVerMedia 7231 Analog Capture filter into the graph.
3) right click and choose properties. Set the device to the lowest settings you can find. mono , 8 bits per sample 11khz . Doesnt really matter, but useful to start small
3) connect its pin to DirectSound or any other windows audio filter you have installed. Alternatively , directshow has a filter named Scope which can draw waveforms. You can use that instead.
4) Run the filter and observe.
5) repeat the test with different settings. Slowly go up until you encounter the crash.
Sorry you have this problem, but often, other than updating the card, you might be out of luck .
I'm having exactly the same problem, and it turns out according to a windows message, it is the Tv card that needs to have its own memory on it of at least 64MB. I've been unable to try FMLE 3.0, because it's not listed on the adobe page, but I figured out that could be a solution. So in conclusion I'm gonna have to upgrade my tv capture card if I don't find FMLE 3.0 or less, because I don't feel like dealing with programming.
You will need to drag a line from your audio source onto the directsound pin in graphedit or a similar software.
hope these links shed some light on how to use graphedit. Its pretty easy to use.