shorts vs trousers

shorts and trousers both are nouns.

Word	Noun	Adjective	Verb	Adverb
shorts	Yes	No	No	No
trousers	Yes	No	No	No

As nouns, trousers is a hypernym of shorts; that is, trousers is a word with a broader meaning than shorts:

shorts: (used in the plural) trousers that end at or above the knee
trousers: (usually in the plural) a garment extending from the waist to the knee or ankle, covering each leg separately

Other hypernyms of shorts include pair of trousers, pant.

shorts (noun)	trousers (noun)
(used in the plural) trousers that end at or above the knee	(usually in the plural) a garment extending from the waist to the knee or ankle, covering each leg separately
underpants worn by men