in Time Magazine -- adverbial prepositional phrase modifying the verb "posted"
Obama Care -- noun, subject
posted -- verb
[that their sign up procedures were working just fine] -- noun clause functioning as the direct object of the verb "posted".
that -- conjunction introducing the noun clause
their -- possessive adjective modifying "sign up procedures"
sign up procedures -- noun, subject of noun clause
were working -- verb of noun clause
just -- adverb modifying "fine"
fine -- adverb modifying the verb "were working"
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