I work in the UK on a Tier 2 visa, and am an Indian citizen. I received a two-year French Schengen visa, which has a remark "COURT SEJ. CIRC." (short stay circulation) which I believe refers to the 90/180 rule.
On my first trip to France on this visa, I received a French entry stamp at St. Pancras on my way to Paris, but I did not receive an exit stamp when I travelled back to the UK on the Euroshuttle (via Coquelles). I did, however, receive a UK entry stamp at Coquelles.
The French border guard at Coquelles didn't even scan my passport. He just took a casual look at it and returned it to me. When I asked for a stamp, he said "Later" pointing further down to the customs area (Douane), and when I asked those officers, they said I'll receive exit stamp after "British immigration". I wasn't surprised to find no French officials after the UK border force check point.
Since my passport wasn't scanned or stamped, I believe that according to French records, I still haven't left France and after 90 days of my entry, would be in violation of the 90/180 rule. I tried contacting the French consulate in London by email but I haven't heard back from them.
What do I need to do to ensure that their records are updated and I don't face any undeserved consequences?