unsympathetic vs unsympathizing

unsympathetic and unsympathizing both are adjectives.

Word	Noun	Adjective	Verb	Adverb
unsympathetic	No	Yes	No	No
unsympathizing	No	Yes	No	No

unsympathetic (adjective)	unsympathizing (adjective)
not sympathetic or disposed toward	not showing or expressing sympathy
(of characters in literature or drama) tending to evoke antipathetic feelings
not agreeing with your tastes or expectations
lacking in sympathy and kindness
not having an open mind