You are not the only one who gets confused about this. If you look carefully you will notice the units for GMI is mmol/mol whereas your home screen and average figures are mmol/l (although you have to go to app settings to see this). So they are completely different scales.
So 6.1% GMI actually comes out at an average of 6.5mmol/l
The other issue that causes confusion is HbA1c/A1c which is another scale which has slightly different values from GMI The Libre always has an option for Estimated A1c which will give you another figure. An average of 6.5mmol/l should give an estimated A1c of around 5.7% or nearly 39 mmol/mol.