Drosera "Lake Badgerup" (patens x occidentalis) is a pygmy drosera from Australia.
I'm not sure about this particular hybrid, but many species of Pygmy drosera are hard to cultivate from seed. According to
sarracenia.com "pygmy Drosera flowers rarely produce seed, and the seeds that do develop are extremely difficult to germinate".
However, some other sources do say that D. "Lake badgerup" is self pollinating and will produce seed. Growsundews.com's
Pygmy Drosera pagesays that "many varieties produce fertile seed" and "you can germinate them just like normal Drosera seeds (they don’t need cold-stratification)"
In any case, the usual propagation method for Pygmy Drosera is by gemmae. These are produced in late autumn in the center of the plant and are pretty much modified leaves that are capable of growing into mature plants extremely fast. You can just separate them and sow them like seeds.
It's worth reading the
growsundews.com page as it explains it all.
Some other tips for the plant:
Pygmy drosera will often die if their roots are damaged, so when you are potting up the plant, make sure you're delicate with the roots.
The roots can grow very long, so its advisable to use a 4 inch+ tall pot.
Pygmy drosera prefer a sandier mix than most sundews. I use a 50:50 sand:peat mix.