Riddle Of The Sphinx

I mingle with the ancient,

a traveler through time.

Behold, I am The Sphinx –

master of riddle and rhyme!

Solve for me this query

to prove you're not a rookie.

You'll earn a place in the stars...

and maybe get a cookie.

This one is quite simple –

I'll make it easy for you.

The tapestry above

should yield a clue or two.

You live in me and give in me.

I'm not what came before or what's in store,

but some would do better to focus on me more.

What am I?