You will need both files in the profile download. One is the ring, print in PLA+ or PETG. The other is the center coaster, Print in TPU.

Two part, PLA, PLA+, or PETG outer ring, and TPU inner can coaster. 

You might have to change the seam to aligned but random works. Picture is of random seams.

No support needed for either. Auto orientate. The TPU inner will need to have stringing cleaned off on the out lip that fits into the groove of the outer ring (you'll know after you print) but you could try to print with support.  To me it was easy to clean.

Assembling takes a little force. With the same layout as printed in auto orientate, insert the TPU center into one end of the outer ring. It won't get tough to push in until past mid point. With fingers on the outer ring, and thumbs on the inner TPU, curl the TPU the best you can until it pops into the outer ring.

Outer Ring

Quality: 

0.12mm Fine, don't go any coarser than 0.20

Strength: 

Wall Loops: 3

Top Surface Pattern: Concentric

Bottom Surface Pattern: Concentric

Sparse Infill Density: 30%

Sparse Infill Pattern: Adaptive Cubic

Inner TPU:

Quality:

0.12 Fine

Wall Loops: 4

All Patterns to Rectilinear

15% infill