Hello Andrej,
As you noted, the main reason of test failures is unimplemented PSA functions. Those functions are directly dependent on Embed-Crypto library where they are missed or API is not adjusted.
Recently TF-M was upgraded Embed-Crypto library from v1.0.0 to v3.0.1 and will continue so, increasing test suite coverage.
Best regards,
Anton
From: TF-M <tf-m-bounces@lists.trustedfirmware.org> 
On Behalf Of Andrej Butok via TF-M
Sent: 28 February 2020 09:46
To: tf-m@lists.trustedfirmware.org
Subject: [TF-M] PSA-Test Suite, 23 Crypto Tests failed
Hello,
After update to the latest TFM and to the latest PSA-Test Suite, 23 Crypto Tests are failed:
************ Crypto Suite Report **********
TOTAL TESTS     : 61
TOTAL PASSED    : 37
TOTAL SIM ERROR : 0
TOTAL FAILED    : 23
TOTAL SKIPPED   : 1
******************************************
The main reason is that many of PSA Crypto functions are not implemented by TFM.
Is there a plan to fix it? 
Thanks,
Andrej