These Sako Optilock Rings will not work with that rifle. For that rifle and scope I recommend using the mount at the link below.
https://www.opticsplanet.com/sako-trg-scope-mount-3-ring-34mm-diameter.html
These Sako Optilock Rings will not work with that scope because you will need a set of 34mm diameter. We currently do not have a set of 34mm Sako Optilock Rings.
If your Sako 85 has the Optilock Base these Sako Optilock Rings will work. The I recommend using the medium height Sako Optilock Rings. But the exact model rings will depend on what the diameter of the main tube is on your Burris Scope.
Based off the size of your objective lens, the Sako Optilock Rings I would use are medium height rings. Typically you would use low rings for an objective lens that is 40-42mm. At 44mm you would start using mid height rings.
Please contact us at techsales@opticsplanet.com for further assistance.
For the 50mm objective you would need the high rings. 38-RR-SAKOPU8-S1300930
The 56mm would need extra-high.
You would need medium height rings for the 44mm objective.
You would need these bases: 38-MT-S13269738-S13269728
And these rings: 38-RR-9108TIKK-S1300964
For the 44mm objective you should use the medium height rings.
Medium rings should work but be sure to measure your scopes OD of the objective lens. If you plan to add a lens cap, add that thickness into your OD measurement but your still good on the Sako chart.