I really like it since I love the nickname Jeni, but do not like Jennifer. Jenabee is no longer my favorite either. I love Genesis, though I am not sure if ‘Geni’ is too far out there. Comments and suggestions would be most appreciated! Thank you!
I don’t like Genesis or Geni, personally. I’d go with nn Gen
If you want Jeni, maybe Jenshin, Jenette, Genevieve / Jenevieve, or Jensin could work? or, you could spell it Jenny and use it as a full name
[name_f]My[/name_f] names Jenileigh , everyone seems to like it.
I think [name_f]Jenny[/name_f] is cute as a stand-alone. [name_u]Or[/name_u] [name_f]Ginny[/name_f]
[name_u]Or[/name_u] [name_f]Genevieve[/name_f]
[name_u]Or[/name_u] jubilee is nice
[name_u]Genesis[/name_u] nn [name_f]Geni[/name_f] is lovely!
I really like [name_u]Genesis[/name_u]. I’ve met three girls with this name. The youngest one is 4 years old and goes by [name_f]Gigi[/name_f]. I’ve also met girls named [name_f]Jenalee[/name_f] and Jennyliz if you want something different with a [name_f]Jeni[/name_f] nickname.
Have you considered [name_f]Imogen[/name_f]? That could also be [name_f]Geni[/name_f] 
Athough [name_u]Genesis[/name_u] is not my cup of tea, it’s a really cool name. It’s strong and the nickname [name_f]Geni[/name_f] “softens” it making it perfect for a child.
All in all, I like it 
I have a friend who has a [name_u]Genesis[/name_u] nn [name_f]Genny[/name_f] so yes I think it definitely can work! You may also consider…
[name_f]Genevieve[/name_f]
[name_f]Ginevra[/name_f]
[name_f]Geneva[/name_f]
[name_f]Imogen[/name_f]
[name_f]Jenna[/name_f]
[name_f]Geni[/name_f] is a perfect nickname for [name_u]Genesis[/name_u], especially if you love it so much 
[name_u]Genesis[/name_u] nn [name_f]Geni[/name_f] is nice and definitely not too out there! Also think you could get to [name_f]Geni[/name_f] with [name_f]Genevieve[/name_f], [name_f]Ginevra[/name_f], [name_f]Imogen[/name_f], & [name_f]Geneva[/name_f].
[name_f]Geni[/name_f] works well as a nickname for [name_u]Genesis[/name_u].