Terran abiogenesis is the hypothesized event in which abiogenesis took place on Earth and ultimately gave rise to all known species. Evidence so far available supports this as the most likely hypothesis for explaining the origin of life on Earth.
While most mythologies include a story explaining the origins of non-supernatural life, none have so far proposed a general theory of abiogenesis. Presumably whatever mythological beings or processes first gave rise to life on Earth could also give rise to life on other planets, but this is rarely discussed in the scripture of traditional religions -- presumably because the idea of planets as large solid bodies with atmospheres was not known of when the vast majority of scripture was first written.
Mormonism apparently does have some doctrinal beliefs regarding life on other planets and God's involvement in their creation. (I don't know if they get any more specific about abiogenesis than "God created all life", however. --Woozle (talk) 16:19, 1 March 2015 (EST))