Looking on the internet deeply has found these results:

in accordance with is the most popular phrase on the web.

in accord with 11,040,000 results on the web	in accordance with 1321,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Mar 17, 2012 ... In this system, in accordance to [should be in accord with] Kohn's theorem, strong reduction of the energy level separation caused by the�... According to: things didn't happen quite in accord with expectations. ????. A spokesman for the software giant says it believes it pays employees in accord�... in accord (with someone or something) (about someone or something). agreeing with someone or something. I am in complete accord with you about the policy�... Until a couple of days ago, I was in accord with those who maintained that Trump would never formally announce his Presidential candidacy. [New Yorker].	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

in accord with

11,040,000 results on the web

in accordance with

1321,000,000 results on the web

More popular!

Mar 17, 2012 ... In this system, in accordance to [should be in accord with] Kohn's theorem, strong reduction of the energy level separation caused by the�...
According to: things didn't happen quite in accord with expectations. ????. A spokesman for the software giant says it believes it pays employees in accord�...
in accord (with someone or something) (about someone or something). agreeing with someone or something. I am in complete accord with you about the policy�...
Until a couple of days ago, I was in accord with those who maintained that Trump would never formally announce his Presidential candidacy. [New Yorker].

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.