Nepal’s Allegations against India
Kathmandu accused New Delhi of backing a plot to topple the government in Nepal. The crisis was triggered on May 3-4 when the former Prime Minister, Pushpa Kamal Dahal ‘Prachanda’ of the United Communist Party of Nepal-Maoist (UCPN-Maoist), invited Sher Bahadur Deuba, leader of the Nepali Congress (NC), to form a combined govt and replace the government of Mr. Oli with a national unity government.
Nepal accused India of facilitating Mr. Prachanda’s sudden rebellion. Mr. Prachanda’s UCPN-Maoist is an alliance partner of Mr. Oli’s Communist Party of Nepal-Unified Marxist Leninist (CPN-UML). The coalition continues as of now.

India’s allegations against against Nepal
1.Mr. Oli’s rivals came together on their own and India had no role in bringing them together. Nepal’s internal political situation will not stabilise till Kathmandu implements a democratic constitution giving equal rights to all sections of the people.
2.Mr. Oli is specifically accused of not keeping the promise of amending the new democratic Constitution of Nepal to give equal rights to all sections of population. For instance still the provinces have not been carved out to give adequate representation to  Madhesi and Tharu population. 
3.Mr. Oli’s drift towards China. For example, landmark transit agreement between China and Nepal was signed recently.

Recent events showcasing bilateral differences
1.Cancellation of visit of Nepalese president to India
2.Nepal recalled its ambassador from India
3.Accusations by both sides against each other