You literally can not know that
Something being true here has no bearing on how things function there
Whatever happens there is quite literally outside of your limited perception
The very idea of something being logical or not is native to this reality
This might feel like cheating, but it really isn't: we know that 1+1=2 because that is true by definition. 2 is defined as the successor of 1 (where 1 is the successor of 0, the zero element), or "1+1".
"1+1" and "thing defined as 1+1" must necessarily be equal regardless of universe.
One could kind of think of math as already existing in a separate universe from reality: one's mind (or paper), which is merely hosted by reality. A different reality could also host a mind that can use logic.
By the way, what is your maths background?
Also
There's these things called axioms. Irreducible "rules" of math that are true by definition.
Whenever we do math, there's an unsaid "if the axioms are taken to be true, then..." at the start of each sentence. (them being unsaid is a part of language.)
Or rather than unsaid, if you say "x is a real number", then you import the meaning of "real number", and that meaning includes "follows the axioms of real numbers"
If we bring those axioms to another universe, they will still work the same, because they are self contained and don't depend on the universe.
On the other hand, if we don't bring those axioms with us and find a similar-looking expression between worlds that has differing value, that's just because they aren't actually the same expression. One is "if our axioms, then X", the other is "if their axioms, then X".
It's a funny thing. Every true statement in math is essentially the same as "0=0".
They add no "information", counterintuitively.
For example, someone says "my hat is green". Then they say "my hat is not red". Then they say "if my hat were solely made of wool, it wouldn't be made of leather". The second statement adds no information, you could have already deduced it from the first. The third adds no information either. But all of mathematics is something you can deduce from previous things, or its own claims.
I'm an atheist, but even if I believed in God, I would think that God didn't create mathematics. Or at the very least didn't design mathematics.
As soon as He says "Let what is true be true" (for example), the rest of mathematics instantly bursts forth from it without His intervention.