Welcome to the Forum Sandra
Most dogs on a good diet with adequate fibre should not need their anal glands manually expressed and doing this too regularly or if the procedure is a bit too heavy-handed, it could cause discomfort and on-going problems in the future. Was there a specific reason that the vets felt the glands needed expressing?
There is a useful article on this link re anal glands including advice on diet:
https://www.dogsnaturallymagazine.com/d ... -problems/
Over the past 25 years and many dogs (currently 14 - and previously 5 who have passed away in that time) we have only once had a dog that needed the anal glands expressed and that was an older dog and it only happened once. Generally speaking I would say that diet is key to a healthy digestive system and well functioning anal sacs. I am not sure what the ‘calming application’ could be? The muscles need to work hard to express the glands and this is where fibre in the diet is important.
The above link includes a recipe for a fibre rich bone broth. You can also buy this kind of supplementary food ready made and, from some suppliers, with added chia seeds to provide bulk:
https://www.boilandbroth.com/product/be ... ets-250ml/
Psyllium husk powder is also available to purchase online and can be beneficial for digestive issues in dogs - do check the quantity recommended carefully though if you do decide to DIY supplements for your dog.
However, if your little one is happy and all is normal with her apart from the occasional butt circling, I would think it may just be that she is either periodically feeling some discomfort there or she is aware of a scent e.g. from passing wind. I know many dogs do react to this with seeming surprise and the circling can be in an attempt to see / smell or investigate what has happened.
I would only worry if she appears unwell, loses her appetite, unwilling to play etc. We had a mini schnauzer years ago who used to go and hide if she passed wind - it seemed to take her by surprise and she would jump up as if she had been bitten, look over her shoulder at her tail end and run under a table or behind a chair but she was not ill - it was just a little quirk of hers
