'I'll tell to my mother' is NOT correct. We would never say that.
'I'll tell it to my mother' is OK, but only if you know what 'it' is. For example, if someone tells you a joke, you might say 'That's a funny joke. I'll tell it to my mother.'
In fact, in most situations, we would simply say 'I'll tell my mother', with no 'it' and no 'to'. For example:
'There's a new ice cream shop in town'
'Is there? I'll tell my mother.'