"If he (Modi) has become so desperate, he should place the replica of Lal Qila (Red Fort) behind himself and take oath (of prime ministership) from Sangma, whom BJP had fielded (as its candidate in the presidential elections)," Yadav told reporters.
JD(U), an NDA partner at the time of the last presidential polls, did not support Sangma's candidature for the same and had instead backed UPA nominee Pranab Mukherjee, who went ahead to become President.
The annual Independence Day speech is delivered by the prime minister of the country from the ramparts of Red Fort.
Snapping its 17-year-old ties with BJP, JD(U) had walked out of NDA in June last year over its opposition to the saffron outfit's move to anoint Modi as its campaign committee chairman.
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He, meanwhile, also slammed Modi for his comments at a rally in Kolkata that the proposed Third Front would make India a "third rate" country.
"The manner in which he (Modi) used the word 'third rate' is not done in political discourse. Neither Congress nor BJP is going to come to power (at the Centre).
"They (BJP) are now shouting from rooftops. They will just remain there," Yadav said.