Should 飽飽 and 小朋友们 be treated as single words in
山羊喜欢青草， 肚子饱饱才回家。 小朋友们别学它， 努力做个好宝宝。
Segmenting software that I use splits 飽飽 and separates 们.
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飽飽 and 小朋友们 should be treated as single words, but the segmenting is reasonable
飽 (full) and 小朋友(child/children) are single words. 飽飽(really full) is a modified form of 飽; 小朋友们(the children) is a modified form of 小朋友, so yes, you can treat them as single words, The segmenting software just separated the modification elements 'reduplication' and 'plural suffix' from the general word 飽 and 小朋友
I think it does that to finely segment the word itself, not just segmenting the sentence into words and clauses.
飽飽 is reduplication of 飽
小朋友们 is general term 小朋友(child/ children) followed by plural suffix 们 which indicate plural
Suffix indicating plural for pronouns, some animated nouns and personifications.
我們 / 我们 ― wǒmen ― we 孩子們 / 孩子们 ― háizimen ― children