There are new icons to help identify a few things about materials
The color: green, yellow, red is for the processing time
If a render engine is recommended they have a letter: e for eevee and c for cycles
if the material works in both it will have no letters.
If it needs displacement the icon has dents.
If a material looks flat in Cycles it’s probably because it uses displacement and the object has not enough geometry to displace.
You can either follow the steps in
06:00 Displacement Materials
Or you can try to change the material settings>surface>displacement from Displacement Only to Bump only and see if it looks acceptable. If the material is too depending on displacement it won’t look good.