In the case of the Baltics, it's not so much the natives that are under the increasing propaganda. [1] It's the Russians who were transported here during the various occupations by the empire & soviets. These people weren't kicked out after the collapse of the union, but most of them have never been interested in the local culture. They haven't learned the language [2], aren't interested in going back to Russia even if paid for, and often don't hold local citizenship. They view Putin as their leader, they celebrate Russian holdiays, shoot new year's fireworks according to Moscow time, and cry about the fall of the union. Basically these are people who are waiting for the reunification of the motherland and it doesn't take much for them to eat up any propaganda that aligns with that view.
Digitally they live as Russians, they don't use facebook but use VK etc. Because they don't understand the language the only local TV/newspapers/media they consume is Russian. The local Russian media is mostly funded by the Kremlin and has their agenda aligned accordingly.
In total, it's hard not to see this as preparation work for Putin to come save all these Russians by occupying us once again.
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[1] Certainly there is the Russian troll army unit who roams the local news comment sections. However they aren't that clever. They are mostly easy to spot, have been spreading the same crap for 15 years, and are often called out.
[2] It's not just that old people don't learn the local languages. A huge number of Russians flat out refuse to teach their newborn children the local languages, insisting on Russian. The continued existance of Russian kindergartens/schools is ensuring that the division among the local populace won't go away.