Mutations can naturally come from any fertility level, though they are slightly more likely the lower fertility the lioness has.
Goddess fertility is the highest fertility level there is and gives you a 100% chance of breeding your female when you attempt to do so. Goddess fertility lionesses are also the only lionesses able to breed with male hybrids, however, her cubs will be born naturally infertile and male hybrids are, unfortunately, unable to pass on their mutation.
You can read more about the different fertility levels on the wiki page.
Hope that helps!

You have liked this post!

Goddess level fertility does not give a mutation bonus; the LOWER the fertility the higher the chance. As said above, goddess fert is the only type able to breed with male hybrids(who are normally sterile)

You have liked this post!

@ Cyrus That isn't true. According to that forum, "Goddess fertility females are the only ones capable of producing a litter with these hybrid males and their resulting cubs are born infertile and with 10% less stats than normal." Male tigons cannot pass their mutation whatsoever. They are unable to breed AT ALL with any lioness unless with a goddess-fertility lioness, similar to having an infertile female lion, which you can only breed by using fertility items.

You have liked this post!

Huh I must have read it wrong..alright then

You have liked this post!

As far as I know its also the only fertility that can produce Tigons. According to the guide anyway. https://www.lioden.com/topic.php?id=304429252640

You have liked this post!