Yechiel Michel Epstein

“ The reason for the first opinion is that the use of "כשם - just like" implies that just as this was done for our forefathers so should it be done for us. This would make the phrase a request, and there is no petitioning for one's needs in the last three blessings of the prayer. The second opinion that allows the phrase to be said, which is our custom, is arguing that a communal need is different, as we see that the prayers during the ten days of repentance include the requests "וכתוב" inscribe us [for good life] " and " ובספר חיים - And in the book of life..." ”

“ Although one is not required to go back (if he remembered after saying G-d's name) , it is nevertheless true that in Grace After Meals, when one says the 'הרחמן - Harachmon' he should append at the end of that section: הרחמן הוא יעשה לנו נסים נפלאות, כשם שעשית... בימי מתתיהו 'The All Merciful One should perform for us miracles and wonders as he did for our forefathers in days of Matisyahu...' until the end. Similarly, when in the prayer one is able to say על הנסים after the יהיו לרצון section (Taz) .
On Shabbos one is also required to say על הנסים in the מוסף - Mussaf prayer. ”

“ After one finishes, they should say "ועל הנסים-for the miracles" until "לשמך הגדול-to your Holy Name". Then they should continue with"...ועל הכל ד' אלקינו אנחנו מודים לך- For all of the good Hashem our Lord gives us, we thank you..."
And thus is the case with the prayer "מודים-we thank You", which we should recite until "קוינו לך-we put our hope in You". (Then we should say) "ועל הנסים-And concerning all of the miracles" which we say until the end, and continue with (the rest of our normal prayers which continue as follows:) "...ועל כולם... ”