It is possible to use 'more' and 'most' with two-syllable adjectives ending in 'ly'. Your choice will depend on what fits best into the sentence. Here's an example where the 'most' version is preferable: "She's the most friendly and likeable girl in the class." 'Most' is a good choice here, because it works with both adjectives.

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Both are correct in terms of grammar. You can use both. Personally I use both, unless it comes at the end of a sentence. At the end of a sentence I tend to use "friendliest" (this is just a personal preference) For example: She is the friendliest person you will ever meet. She is the most friendly person you will ever meet. My pet cat is the friendliest.

both are correct