The following are 11 Dhikr, supported by Hadith that we can recite throughout last 10 nights:
Note: We should try & aim to recite each of these 10 Dhikr a 100 times each which makes a total of 1000 a day minimum.
1. Allahumma innaka 'afuwwun tuhibbul 'afwa fa'fu 'annee - Recite this abundantly during the last ten nights of Ramadan.
2. Subhaanallah
3. Alhamdulillah
4. Allahu Akbar
5. Laa ilaaha illallah
6. LA HAWLA WA LA QUWWATA ILLA BILLAH-HIL ALIYYIL ADHEEM
7. Asthaghfirullah-halladhee Laa ilaaha illa-huwal Hayyul Qayyuumu Wa athoobu Ilay
Or short version: Asthaghfirullah
8. SUB-HAAN'ALLAAHi WA BI-HAM'DIHI SUB-HAAN'ALLAH-IL ADHEEM
Or short version: SUB-HAAN'ALLAAHi WA BI-HAM'DIHI
9. Subhāna-llāhi, wa-l-hamdu li-llāhi, wa lā ilāha illā-llāhu, wa-llāhu akbar. Wa lā hawla wa lā quwwata illā bi-llāhi-l-aliyyi-l-azīm
10. Lā ilāha illā-llāhu waḥdahu lā sharīka lahu lahu-l-mulku wa lahu-l-ḥamdu yuhyi wa yumītu wa huwa ḥayyu-llā yamūtu abadan abada, ḏū-l-jalāli wa-l-ikrām, biyadihi-l-khayr, wa huwa alā kulli Shay-in qadīr
Or the shortened version:
Laa ilaaha illal-laahu wahdahu laa shareeka lahu, lahul-mulku wa lahul-hamdu wa huwa ‘alaa kulli shay-in qadeer
11. Radeetu billahi Rabban Wa bil Islami deenan Wabi Muhammadin Nabiyyan
We should also recite much of durood e Ibrahim which is the durood that is recited towards the end of Salaah.
Or the shortest durood is: Sallallahu Alayhi Wasallim