tea-like drink vs beverage

tea-like drink and beverage both are nouns.

Word	Noun	Adjective	Verb	Adverb
tea-like drink	Yes	No	No	No
beverage	Yes	No	No	No

As nouns, beverage is a hypernym of tea-like drink; that is, beverage is a word with a broader meaning than tea-like drink:

tea-like drink: a beverage that resembles tea but is not made from tea leaves
beverage: any liquid suitable for drinking

Other hypernyms of tea-like drink include drink, drinkable, potable.

tea-like drink (noun)	beverage (noun)
a beverage that resembles tea but is not made from tea leaves	any liquid suitable for drinking