render vs put across

render is a noun but put across is not a noun.

Word	Noun	Adjective	Verb	Adverb
render	Yes	No	Yes	No
put across	No	No	Yes	No

As verbs, put across is a hypernym of render; that is, put across is a word with a broader meaning than render:

Other hypernyms of render include communicate, pass, pass along, pass on.

render (noun)	put across (noun)
a substance similar to stucco but exclusively applied to masonry walls

render (verb)	put across (verb)
cause to become	transmit information
melt (fat or lard) in order to separate out impurities
bestow
pass down
restate (words) from one language into another language
coat with plastic or cement
give or supply
give an interpretation or rendition of
show in, or as in, a picture
give back
make over as a return
give something useful or necessary to
to surrender someone or something to another