"The puppies having been shown to me yesterday look cute" is not a possible sentence. The other one is. You should probably use "looked".
I'm not sure what you mean by the 'priority' or 'intensifying' statement.
I can't think of a possibility for a perfect participle like "having been shown" being used as an adjective. Note that that is the passive voice. The active perfect participle is "having shown". That's not an adjective either.
PS: "The puppies, having been shown to me yesterday, all dropped dead overnight" is a proper sentence. But the 'having' phrase doesn't have an adjectival property. It doesn't mean, "The puppies which were shown to me yesterday ..."
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