I found the following vim remaps and they work perfectly for selecting, deleting, choosing...everything in between parenthesis or brackets
onoremap b i[|
onoremap p i(|
I tried getting the same done for strings but it does not work
onoremap s i\"|
I've tried mapping it to different key as well as using omap without success.
First, the "re" in "onoremap" goes with "no" to make "nore", short for "non-recursive", not with "map". Thus, these are not "remaps", but "mappings" (or the uncommon "maps", if you really want).
Second, I am not sure where you got these from but the | doesn't appear to be an integral part of the mappings. The trailing spaces on the first line make it look like an attempt to handle inline comments as per :help :map-comments, but your sample doesn't include comments so this is puzzling. If you don't have a clear justification for those |s, you should remove them (and fix your trailing whitespace issues):
onoremap b i[
onoremap p i(
Third, doing the same for double-quoted strings is easy enough:
onoremap s i"
Note that the risk is high of overriding useful motions, here. You are already doing that with the first mapping (:help b) and you will probably stumble on other cases as you add more text object "shortcuts". The whole idea doesn't seem very good to me.