The green signs are pretty much irrelevant to diabetes (though some may be relevant to other conditions that can be linked e.g. saturated fat if you also have high cholesterol).
For diabetes it is all carbohydrates that need to be reduced and monitored, not just those listed as "sugars" on the packaging. To see those you need to check the full nutrition information boxes which are usually on the back of packets.
Mostly for type 2 diabetes people aim for a maximum of 130g of total carbohydrates in the day. If you are eating a lot more than 200g a day at present, then it may be easier to cut by 1/3 at first and then cut again by 1/3 until you get to where your blood sugars are within the guidelines.
Ways to reduce carbohydrates include: having one slice of bread rather than 2; swapping some potatoes for lower carbohydrate vegetables such as cauliflower, broccoli, spinach; having cakes and sweets less often; having a smaller portion of pasta or looking for lower carb alternatives like edamame bean pasta (can be bought in some supermarkets as well as online).
Ideally what you are aiming to get on the blood sugar tests is:
- 4-7 when you first wake up, and before you eat a meal
- maximum of 3 mmol rise 2 hours after starting to eat a meal (as your blood sugars start to improve you would also hope this would usually be under 8.5 but initially just look at whether it is within 3 of the pre-meal reading)
Don't worry about what your blood sugar might be an hour after meals, just look at the 2 hour reading. If it is more than 3 above the pre-meal reading, that suggests you might have eaten more carbohydrates at that meal than your body can cope with, so next time you might want to try reducing them slightly, or adding some protein/fat to help slow down the digestion so the sugar from the broken down carbohydrates doesn't all hit your bloodstream at the same time.
If you are overweight, then losing weight can help as well (and if you lose enough can sometimes put type 2 into remission so that you can then relax a little bit about carbohydrates again without blood sugars spiking too high).
If you are not overweight, or if you have recently lost weight without trying to, then I would suggest asking if you can be tested for Type 1 diabetes (this is more blood tests to look for antibodies which immune systems can produce against the beta cells in the pancreas that produce insulin, and also something called c-peptide which is a good correlation for how much insulin your body is producing). If you have been diagnosed with anything rheumatic, or otherwise automimmune, as a result of the tests you have had, then it is a good idea to ask about type 1 testing even without weight loss, as sometimes people find they are susceptible to autoimmune conditions.