The basic structure looks like ``... that parents do "A" and "B" ``
Hence, We have divided the sentence on the basis of ideas.
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The behavioral model of child development recommends that parents :
(a) pay attention to their child's emotional sensitivity and attachment style, and in analyzing the meaning of the data they gather from these observations
(b) , can adjust their parenting style to encourage their child to be more independent.
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In a and b option above, we can see that ||ism is not maintained. Hence ``, can adjust" should be made ``adjust".
Also, in a above, the sentence contain 2 list. i.e.
- pay attention to their child's emotional sensitivity and attachment style
- , and in analyzing the meaning of the data they gather from these observations
``,and" doesn't look ok, as the subject ``parent" are same for both the sentences. Hence ``,and" should be converted to ``and,"
'D' is the most nearest choice which works out on the basis of two rules above.