I have a hard time communicating and functioning with my partner.
How do I better deal with the communication issues
I know it cannot be changed but I can certainly improve on how to process the situation and do better on my part.
I am struggling to understand, communicate, and find ways to function cohesively together
I feel that OP has adequately addressed that the issue is not one-sided or particularly a fault of anyone, just that it is a conflict that they don't know how to navigate.
*edit typo
It's very difficult for an allistic person to have the perspective, without previous experience, to understand what they might be doing wrong in this scenario, let alone articulate it clearly.
Unfortunately, society generally teaches absolutely nothing about how to safely navigate communicating with autistic people.
Nothing wrong with willingness to learn.
(I am not implying you are saying it is wrong to want to learn! That is just where my logic's foundation is laid.)