user11288: Dearest friends, seeking to clarify my fragmentary understanding of these matters, I would very much appreciate your comments on the distinction between Sati Mindfulness and Yonisomanasikara Attention by way of the Matrix.
Warmhearted, grateful thanks for you taking the time to offer some help.

user8157: Sati is a factor of concentration. Sati means remembering. 
Yonisomanasikara is a factor of wisdom. It means thoroughly examining.
For example, you read or hear Dhamma Teachings. The teachings say you should thoroughly examine & think about the teachings after hearing the teachings. This thoroughly examining & thinking about the teachings is yonisomanasikara. 
Then when the teachings are understood, you continuously remember to keep the teachings in mind so you can continuously practise the teachings. This continuously remembering to keep the teachings in mind & to not be forgetful of the teachings is sati (mindfulness). 

Thus associating with good persons, becoming full, fills up hearing
  the good Dhamma. Hearing the good Dhamma, becoming full, fills up
  faith. Faith, becoming full, fills up careful attention (yoniso
  manasikārā). Careful attention, becoming full, fills up mindfulness
  and clear comprehension. Mindfulness (sati) and clear comprehension, becoming
  full, fill up restraint of the sense faculties. Restraint of the sense
  faculties, becoming full, fills up the three kinds of good conduct.
  The three kinds of good conduct, becoming full, fill up the four
  establishments of mindfulness. The four establishments of mindfulness,
  becoming full, fill up the seven factors of enlightenment. The seven
  factors of enlightenment, becoming full, fill up true knowledge and
  liberation. Thus there is nutriment for true knowledge and liberation,
  and in this way they become full.
AN 10.61


user11009: Samma Sati is a factor of Noble Eightfold Path. Yonisomanasikara is a factor of Sotapanna. Perhaps Yonisomanasikara is the fruit of following the path. (practicing Satipathana)
Further reading:
Association with people of integrity is a factor for stream-entry.
Listening to the true Dhamma is a factor for stream-entry.
Appropriate attention is a factor for stream-entry.
Practice in accordance with the Dhamma is a factor for stream-entry.
— SN 55.5
https://www.accesstoinsight.org/lib/study/into_the_stream.html
https://dhammawheel.com/viewtopic.php?f=13&t=31179&hilit=

11288: <p>Dearest friends, seeking to clarify my fragmentary understanding of these matters, I would very much appreciate your comments on the distinction between <strong>Sati</strong> <em>Mindfulness</em> and <strong>Yonisomanasikara</strong> <em>Attention by way of the Matrix</em>.</p>

<p>Warmhearted, grateful thanks for you taking the time to offer some help.</p>
 8157: <p>Sati is a factor of concentration. Sati means remembering. </p>

<p>Yonisomanasikara is a factor of wisdom. It means thoroughly examining.</p>

<p>For example, you read or hear Dhamma Teachings. The teachings say you should thoroughly examine &amp; think about the teachings after hearing the teachings. This thoroughly examining &amp; thinking about the teachings is yonisomanasikara. </p>

<p>Then when the teachings are understood, you continuously remember to keep the teachings in mind so you can continuously practise the teachings. This continuously remembering to keep the teachings in mind &amp; to not be forgetful of the teachings is sati (mindfulness). </p>

<blockquote>
  <p>Thus associating with good persons, becoming full, fills up hearing
  the good Dhamma. Hearing the good Dhamma, becoming full, fills up
  faith. Faith, becoming full, fills up <strong>careful attention</strong> (<strong>yoniso
  manasikārā</strong>). Careful attention, becoming full, fills up mindfulness
  and clear comprehension. <strong>Mindfulness</strong> (<strong>sati</strong>) and clear comprehension, becoming
  full, fill up restraint of the sense faculties. Restraint of the sense
  faculties, becoming full, fills up the three kinds of good conduct.
  The three kinds of good conduct, becoming full, fill up the four
  establishments of mindfulness. The four establishments of mindfulness,
  becoming full, fill up the seven factors of enlightenment. The seven
  factors of enlightenment, becoming full, fill up true knowledge and
  liberation. Thus there is nutriment for true knowledge and liberation,
  and in this way they become full.</p>
  
  <p>AN 10.61</p>
</blockquote>
 11009: <p>Samma Sati is a factor of Noble Eightfold Path. Yonisomanasikara is a factor of Sotapanna. Perhaps Yonisomanasikara is the fruit of following the path. (practicing Satipathana)</p>

<p>Further reading:
Association with people of integrity is a factor for stream-entry.
Listening to the true Dhamma is a factor for stream-entry.
Appropriate attention is a factor for stream-entry.
Practice in accordance with the Dhamma is a factor for stream-entry.
— SN 55.5</p>

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