In this particular context, founded and established mean exactly the same thing.
Found — MWLD
verb 1. to begin or create (something that is meant to last for a long time) : establish
"The college was founded in 1793"
Establish — MWLD
verb 2.a. to begin or create (something that is meant to last for a long time)
"The city was established [=founded] in the 18th century."
Wikipedia page for CARE uses founded:
"..Founded in 1945, CARE is nonsectarian, impartial, and non-governmental.."
Here's an Ngram: "was established in" vs "was founded in"