of course, the avermedia-remote does not really work with winlirc and such. for winlirc, you would need to have a com-port, few parts (for about 1 buck, you should be able to get them, or you slaughter some old devices) and a soldering iron. the circuit itself is so simple, even someone who did never solder before should manage it without much trouble.
then you just run winlirc, configure it (you need to select the right port and such, but thats all pretty easy) and learn your remote. thats the coolest about winlirc: you can use about any remote you want. and on the winlirc-homepage, there even is an archive for configuration files.
with a few additional parts, you can also use winlirc to send remote signals. i once used that to replace a lost remote for a tv-set to reprogramm the channels and stuff. that was really usefull. ^^
anyway, you can find detailed instructions on how to build and configure winlirc here for example: Google Translate
sad thing that it's only over google translate, but you probably would find other sites with instructions too. if you need any help, ask me. ^^