1. The religious framework: an eternal god exists and he/she creates the reality we see around us. 2. We are an accident created by the wave function of the universe (Stephen Hawking and other scientific viewpoints).
Who here believes in something else, and if so, what do you believe in?
Personally, I am drawn, in unequal parts, to Wittgenstein/the inherent limits of language, Nietzsche and Schopenhauer's concept of the will, mysticism, and Indian (Hindu, Buddhist, Jain) concepts of the universe. If I tried to answer your question briefly (but again, I don't think it's nearly that simple), I'd say something like: concepts like "exist", "created" and "god" are all wrapped up in language and a human perspective. Logic and mathematics are patterns viewed through human observation, not things-in-themselves. The idea that the universe is explainable via the extremely limited tool of empirical science seems hopelessly naive to me.
Maybe some outer layer of simulation involves no technological civilization with intentionality but is just some massive computational process in a dynamic substrate that we can’t imagine.
If time is a feature specific to our simulation then maybe causality itself is kind of like a Kantian category and not a property of the real base universe. So maybe “why” questions only apply locally.
It does seem sensible to assume metaphysically that our observed world of causality somehow supervenes on some structure or energy that transcends causality, some kind of God or higher reality, even if it is a “god of the gaps.” We would be a part of this God’s “creative exploration” or something.
I view the will of God as the “why” and the physical laws of nature as the “how”. When people say “everything is connected” I interpret that to mean while it’s true that physical causes and effects behave according to natural law, the will for a desired outcome is provided by a higher intelligence.
To answer your question, the universe exists because God wills it to exist.
While we’re on the subject, many believe in a hierarchy of supernatural intelligences (e.g. angels and demons). A scientific explanation for this hierarchy may be living beings that occupy dimensions other than our own (e.g. “higher” dimensions that operate on “lower” dimensions).
See, e.g., https://m.phys.org/news/2014-12-universe-dimensions.html
https://www.youtube.com/watch?v=36GT2zI8lVA
The take away is to answer a why question you need a framework to provide an acceptable answer. Why the universe exists? We don't have possibility can't contain such a framework.
Sometimes it's good not to be modern.