The goddess is "of time" or mortal existence. As time progresses, the moon progresses through its phases. . . She represents an "eternity in time" of mortal birth and rebirth (the new vegetation growing on the decay of the old into soil).
God, in most religions, is eternity in "now," apart from time. "Now" is a moment with no beginning and no ending. He is represented in the sun.
See, this sort of assumption has always puzzled (and somewhat annoyed me) me, because there really
aren't that many religions with a moon goddess/sun god dichotomy.
Egyptian myth has Aah, Khonsu, and Djehuty (Thoth), all of which are gods, associated with the moon, while the sun is associated with a myriad of Names - both male (Ra, Heru/Horus), semi-asexual (Khepera), and female (Sekhmet, Bast, Hethert/Hathor) - and I know I'm missing a few.
Japanese myth has a sun goddess, Amaterasu, and a moon god, Tsuki-Yomi.
The Sumerians had Sin/Nanna (moon god) and Nikkal (sun goddess).
Inuits have a moon god and a sun goddess.
Hinduism has Soma/Chandra (moon god/s).
The early Celts had Adsullata, Ebhir, and Grainne (all associated with the sun).
The Norse have a male moon and a female sun.
And those are only a few examples. The whole "moon is female, sun is male" association that is so common today is probably derived from Greek and mid-to-late Celtic myth, since those are the better-known mythologies (and some of the only ones besides - I
think - Mayan and Chinese and a couple rare others) with moon goddesses and sun gods.
I'm just wondering if in Paganism there is any sense of God and Goddess actually being beyond gender.
It depends on what sect of Paganism you're talking about; we've got as many sects/traditions/"denominations" as Christianity does, and they're even more widely varied.
I'm Kemetic - Egyptian Pagan. The Egyptians had the concept of "Netjer" (also sometimes spelled Neter, Ntr, or Ntjr, depending on preference), the vast infinite all-pervasive All-Deity that cannot be comprehended by finite minds. Netjer is split into what some Kemetics call the Names of Netjer - very similar to the Christian idea of the Trinity. Where the Trinity is YHWH (God the Father), Jesus (God the Son), and the Holy Spirit - three in one, one in three, all distinct and separate beings who are at the same time one being - Netjer and the Netjeru (Names of Netjer) are many in one, one in many.
Each Name is very separate and individual, but it's still part of the greater whole of Netjer, and all the Names - no matter their sometimes seemingly-conflicting desires and pursuits (as in the Contendings of Heru and Set) - are subject to and follow Ma'at and the principles thereof. But I think that "each Name is very separate and individual" must still be emphasized - because to say "I can talk to / treat / behave towards Aset (Great of Heka) in the same manner as I do towards Yinepu (the Divine Child)" is disrespectful and misses the point, IMO (not to mention it'll probably hurt when Aset rips you a new one).
It's my belief (and that of a number of others) that Netjer is fissioned into the different Names in order to better relate to/communicate with humans, and each Name communicates with each person in the way that each person needs/will best understand.
Does that make any sense?