Akhanli was born in Turkey but emigrated to Germany in 1991 after spending years in Turkish prisons following the 1984 military coup in the country.
He had earlier said that a similar natural disaster earlier in the year was artificially triggered in order to manipulate Turkey's economy.
Tensions have spiralled between Germany and Turkey in recent months.
The latest spat between Ankara and Berlin risks propelling a months-long crisis in ties between two North Atlantic Treaty Organisation allies with deep historic links to a new level ahead of Germany's general election on September 24.
The Customs Union agreement between Turkey and the EU entered into force in 1995 and covers all industrial goods but does not include agriculture, services or public procurement.
The country is now ruled by a coalition government headed by Chancellor Angela Merkel's Christian Democratic Union.More news: Food aid is reaching thousands who survived a mudslide in Sierra Leone
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"You should give them best lesson at the ballot box by using your democratic right optimally", he said in his address in the southwestern Denizli province on Saturday.
Ankara meanwhile has accused Berlin of failing to extradite suspected Kurdish militants and coup plotters who have taken refuge in Germany.
Can is likely a reference to Can Dundar, a left-wing Turkish journalist who fled to Germany amidst an ongoing government repression of opposition voices in the media. "And she wanted one or two people to be sent home by me".
The BBC notes that Erdogan is still furious at the German government for refusing to allow his officials to campaign among the German Turkish community during the April referendum that increased Erdogan's powers as president.
The World War I-era mass slaughter and deportation of up to 1.5 million Armenians by Ottoman Turks is considered by many historians and several nations as genocide.
Germany goes to the polls on September 24 and there are an estimated 1m Turks living in the country who are eligible to vote.