This could be recast as
Soon, he finishes restoring the old house in the best way possible. The project attracts attention for its architectural merit, and for the years of effort which Noah had expended. Articles about the project, with pictures, are published in newspapers.
A qualifying word, such as 'local" or "regional" could be placed before "newspapers".
The original sentence
Soon, he finishes restoring the old house in the best way possible in the manner that newspapers took some pictures from the house and put in their newspapers.
has some problems. "Manner" should mean a method or style of finishing the house, but "manner that newspapers took some pictures" doesn't really make sense to me. "took some pictures from the house" ought to mean taking pictures looking out of the house, or from the point-of-view of the house, but that seems unlikely. I suspect that "took some pictures of the house" conveys the intended meaning. "and put in their newspapers" should be "and put them in their newspapers. "newspapers took some pictures" is at least award. The pictures were probably taken by reporters or photographers working for the newspapers, and this is compounded by the later "their newspapers". The antecedent of "their" must be "newspapers" leaving "newspapers put pictures in their newspapers" which just doesn't work. Changing the first "newspapers" to "reporters", or recasting to a passive form not saying who took the pictures (such as "pictures were taken and published"), avoids this problem, as does my more drastic rewrite above.