When creating this mug, some crazy shadows appear when connecting the mug's handle to the actual cup. Auto smooth with normals does not fix this.
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One problem I can see from your image is that the handle has a higher level of subdivision than the cup - the result is the faces on the cup right next to where the handle joins are N-gon's (faces with more than 4 vertices). You can see there are 3 vetrs on one edge not connected to anything. – Christopher Bennett Apr 24 '22 at 23:52
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https://blender.stackexchange.com/questions/6425/keep-sharp-edges-when-using-subdivision-surface https://blender.stackexchange.com/questions/734/how-to-smooth-shade-an-object-while-retaining-hard-edges/ – Duarte Farrajota Ramos Apr 25 '22 at 01:11
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there are 2 problems here: ngons and an angle of 90° that makes the shade smooth looks bad, get rid of your ngons (delete some edge loops) and give your object a Subdivision Surface modifier – moonboots Apr 25 '22 at 08:02
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Big changes in surface angle will cause this.
I would add a little more loops in these areas:
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