I know nothing about the intensity or spectrum of the LED light, but assuming it is not an issue there are a few things that will help. Plants must have red and blue light to drive photosynthesis, and of the two red is more important; LED is often lacking red and higher in blue, but from the photos I would not think this is an issue here.
On the light, lessening the duration is one thing, and always have it consistent every day. A simple timer is best for this; fish are also highly affected by the overhead light so this helps them too. I would suggest a period of 7 or 8 hours of tank light, the same time each day. This can bee whatever works for you; obviously we want the tank lighting on when we are generally there to enjoy thee aquarium, so any period of 7-8 hours is fine. There must be a period of total darkness, no room light or daylight, during each 24 hour period; normally this would be during the early hours of the day, say 11 pm to 6 am or similar.
Blue green algae is actually cyanobacteria, not an algae, and it is caused by organics in the presence of light. Increasing the volume of the weekly partial water change will help this and algae in general. This is because the increased water changes, including gravel vacuuming (in open areas) and keeping the filter well cleaned, reduces organics. I do 60-75% of each of my tanks' volume once a week.
A comprehensive plant fertilizer is a good thing normally, as it ensure all nutrients are available. The "balance" I mentioned previously involves light (intensity/spectrum/duration) and 17 nutrients plants need. If any one of these is missing, photosynthesis will slow and that is when algae has the advantage because it is not as fussy respecting light or nutrients. All of these occur naturally with fish that are being fed, but there may not be sufficient amounts of some of them, which is where a comprehensive additive helps. However, I have caused algae by adding fertilizers in some cases, so one has to be careful. A small bottle of a complete liquid fertilizer used once per week, minimally, might help. Seachem's Flourish Comprehensive Supplement for the Planted Aquarium is what I have been using for years now; another similar is Brightwell Aquatics' FlorinMulti. The fish load is not great so this might help.
Another suggestion is floating plants. Not only do these help reduce the light getting into the aquarium, they provide a much appreciated "cover" for the fish. They are also rapid assimilators of nutrients which helps starve algae. Provided that balance is there.