How is the term "God" meant in the DC universe?

What is the term “God” meant to mean in the DC universe?

Exactly what it means in this universe...someone/thing/power who is worshipped as a "God".

The only difference is that in the DC Universe (and Marvel Universe for that matter) is that some "Gods" are real.

What they are is unclear or rarely explored or just waved away. In the MCU for instance, "Gods" such as Asgardians are treated as more advanced aliens who were revered and worshipped as gods by more primitive man.

The issue of actual "divinity" is essentially ignored.

In the DCU this has not really been explored yet but at the moment, the Athenian gods referenced appear to be beings of great power and abilities. Whether they have any divinity is a matter of interpretation and faith.

The reference to "False God" in BvS was to highlight that the common folk were starting to worship Superman as a 'saviour' type character even though he would be the first to state that he is not a god.

So, just having enormous power (super or otherwise) does not make you a god but it might get you worshipped as one.

By definition, God is

1. (in Christianity and other monotheistic religions) the creator and ruler of the universe and source of all moral authority; the supreme being.

2. (in certain other religions) a superhuman being or spirit worshipped as having power over nature or human fortunes; a deity.

In WonderWoman, Zeus and Ares are gods from Greek mythology, superhuman beings with power over us.

When Superman arrived on Earth, he was also hailed as a God, someone who would protect us and redeem us. However, those who didn't trust SuperMan claimed he was just nothing but a false God, he would not bring salvation or redemption to us.

More or less any character that is an immortal being with superpowers

By immortal, I mean someone who cannot be killed by human means for example :

Wonder woman spoiler :

Ares is immortal but dies to Diana's ability as a demi-god

Possible DCEU / Confirmed Batman The dark knight returns spoiler :

Superman is indestructible, survives a nuclear strike at point blank but dies to some amount of Kryptonite as can be seen in this scene of Superman surviving the nuke in Dark Knight returns

In conclusion, any humanoid-like life form possessing powers and durability that defies humans understanding is considered a God.

Edit: This power will bring people to worship them as any regular gods as Paulie_D and BlueMoon93 pointed out

Edit2: Ares doesn't indeed die to Diana's sword (Paulie_D), my bad for misremembering it. The magic sword is able to kill gods tho (and cut absolutely anything in the entire universe as a matter of fact)