The product's inlet and outlet outer diameter is 10mm, and the silicone tube with an inner diameter of 8mm is inserted. Your 1/4 inch is 6.35mm, and you need to make a connector to reduce the diameter before you can use it.
The outer diameter of the water inlet and outlet of the equipment is 10mm, and the pipe is a silicone tube with an inner diameter of 8mm and an outer diameter of 11mm.