Varma, in a tweet, urged the Election Commission (EC) to be impartial and also expressed concern over growing hunger in the country in another post.
"EC must not only be impartial but seen to be so. Why have the dates for Gujarat elections not been announced? We need credible answers," he tweeted.
Just hours after Varma's tweet, the party distanced itself from the remarks and said it has "full faith" in the poll panel.
Tyagi said Varma was not authorised to make such a statement and had expressed views in his personal capacity.
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However, Varma had earlier said he had asked the question of the EC as the party spokesperson.
In another tweet, Varma also noted India's "steep fall" in the global hunger index and said it begged the question who the fastest growing economy was working for.
Opposition parties have also questioned the Commission for not announcing Gujarat dates with those for Himachal Pradesh, with some leaders alleging that it was done to help the ruling BJP in the poll-bound state.
Varma said since the dates for the Himachal polls had been announced, it was expected that the schedule for the Gujarat polls would also be declared, but that was not done.
"So I have asked the EC that in order to retain its impartiality, which we all respect, it must provide credible reasons for not doing so. That is a question beyond partisan politics. Democracy is about strength of the institutions," the former diplomat and Rajya Sabha member told PTI.
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