How does lamotrigin and levetiracetam (as antiepileptic drugs!) combine with contraceptives/birth control?

Yes. But always let a prescriber know All the drugs you take to avoid problems.

Your two antiepileptic medications will likely have minimal effects on your birth control pills (the name of which you have not included), but would strongly urge this question be asked to your current physicians, who know you best. You may want to consider a different approach toward dealing with conception risk.