You can't move into someone's house and immediately make rules. Did you discuss dishes and shoes before you two moved in?

I agree they should silence their phone at night. Clearly it's too much trouble, which I see as a sign they do not care about you. Sleep is vital.

But moving in within two months of dating is such a bad idea. Hopefully you can move back to wherever you came from and start actually dating. Cause what you are doing isn't dating.