Imagine you had multiple ClassOne instances. How would ClassTwo even know which instance to use?
You could approach this problem by injecting an instance of ClassOne into ClassTwo. Like so
a = ClassOne.new
a.add_type_one("I", "Want")
a.add_type_two("These", "Methods")
a.sanitize
b = ClassTwo.new(a)
b.add_more("And", "Variables")
b.add_even_more("To", "Work together")
b.run
And then access the instance variables of ClassOne from within ClassTwo.