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Answer: At first glance, your question is answered directly by very basic sources. The Shulchan Aruch (Orach Chayim 651:1, based on Sukka 33b) rules: "If they were not tied together before Yom Tov or [the knot] came apart, it is not possible to tie them with a full knot but rather with an aniva (bow knot)." The Rama (ad loc.) cites an alternative – to wrap the lulav leaf around the three species and then tuck its head underneath. However, we should discuss some other factors about the process, including how koysheklach, used by Ashkenazim, affect the situation.
Bemare Habazak - Rabbis Questions (654)
Rabbi Daniel Mann
333 - Tosefet Yom Kippur
334 - Tying Up the Arba Minim on Yom Tov
335 - The Nature of the Fulfillment of the Mitzva of Mezuza
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These opinions correspond to two approaches to what the gemara meant by rejecting the need for egged but urging some level of it due to noy. One approach is that the noy is in having the minim tied up together, the same way practically as egged, just that it is not as crucial. According to this, you ostensibly missed out by not being able to make a knot. The second approach is that there is a different criterion, which is aesthetic, and a halachic knot is not an independent value.
These approaches find expression in the machloket about koysheklach, which developed a few hundred years ago in Ashkenaz lands. There were some, including the Chatam Sofer (Sukka 36b), who say that noy in this context follows halachic grounds of egged, and therefore if the koysheklach are not wound firmly by a halachic knot, they are insufficient. Supporters of koysheklach respond in one of two ways: 1) Since egged is not needed, noy follows aesthetic criteria, according to which koysheklach exceed a simple double knot; 2) Koysheklach contain permanent intricate knots, and it makes no difference whether one tied a knot around the minim or whether the minim were slipped into an existing knot (or set thereof). (See more on the latter distinction in the Harerei Kedem notes to Mikraei Kodesh (Frank), Sukka II, p. 106-108). These questions also relate to the machloket about whether or not it makes a difference if the minim are bound together by one who is obligated in arba’a minim (see Mishna Berura 649:14).
According to the "practical" approach, what you did was fine, if you attached the koysheklach firmly to the lulav, preferably by wrapping or making a bow knot with a lulav leaf. According to the knot approach, what you did was only okay b’dieved.
Another issue is what to do if you did not remember to detach lulav leaves from the lulav before Yom Tov. Although muktzeh for the mitzva does not apply until the lulav has been used (see Mikraei Kodesh (Harari), Arba’a Minim 9:7), there is a machloket whether removing a leaf from a lulav to be used for this purpose is considered like making a kli (see ibid. 24). They certainly should not be cut to size or made into rings before attaching to the lulav on Yom Tov (ibid. 23, ftnt. 65; see Piskei Teshuvot 651:3). Realize that the more important connection is the one that holds the three minim together, whereas the two or three on the lulav are a later idea (Rama ibid.).

Kuzari -Rabbi Ari Shvat Kuzari class 8- "Answering Questions on the Kuzari's Proof from Mass Revelation
Lessons
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Kuzari -Rabbi Ari Shvat Kuzari class 9 - "Seeing is Believing" (parag. 21-30)
These paragraphs elaborate on the theme that seeing and knowing is better than any attempt to prove logically, and begins explaining the difference between Israel and gentiles.

Ein Aya Various Universal Stages of the Geula Process
Rav Kook examines the various stages of redemption, explaining how (in addition to the obvious oft-mentioned stages of ingathering the exiles, reviving the Hebrew language, army, state etc.) the messianic dream of world prosperity, the State of Israel and world unity can and are realistically and logically gradually coming true.

Kuzari -Rabbi Ari Shvat Kuzari class 8- "Answering Questions on the Kuzari's Proof from Mass Revelation
How do we know that the "claim" of mass revelation to 2,000,000 witnesses at Mt. Sinai is really true? This important class answers all of the questions skeptics ask about this claim of the Kuzari.

Ein Aya Armies Still Necessary for Balance & the War Against Wars
Rav Kook explains why the world was originally divided into the various seemingly contradicting ideologies and cultures, in order to develop each one respectively. Swords or armies symbolize how each respective ideology defends themselves, as well as deters their opposing ideologies and cultures. On the other hand, the messianic era will be one of peace, and Rav Kook explains the transition to that stage, which mankind is already undergoing.

The Land of Israel LGBT'S IN ISRAEL
The question was asked, how can one make Aliyah with the LGBT parades?

Kuzari -Rabbi Ari Shvat Kuzari class 7 - Five Accumulative Proofs of G-d
As a preparation for the Kuzari's classic proof of G-d from the mass-revelation at Sinai, we start here with 5 other directions to strengthen our belief which also contribute to what the Kuzari will present as well.

Ein Aya Muscle & Meaning: The Dual Nature of Gevurah (Physical Strength)
Is physical strength and fitness a necessity or an ideal? Although it if often totally overlooked among topics of Judaism, Rav Kook writes that it clearly is also a necessity to deter the many enemies of Israel, but even in Y'mot HaMashiach, in the Messianic era, to a certain extent, it's ideal continues even after our enemies will have been finished off.








