NEW DELHI—Heavy rain and a high tide lashed parts of eastern India and neighboring Bangladesh as a cyclone pushed ashore Wednesday in an area where more than 1.1 million people have evacuated during a devastating coronavirus surge.

Cyclone Yaas already had caused two deaths and damaged homes as heavy rains pounded Odisha and West Bengal states before the storm began making landfall in the late morning.

The “very severe cyclonic storm” is packing sustained winds of 130-140 kilometers (up to 87 miles) per hour and gusts up to 155 kph (97 mph), the India Meteorological Department said. With the storm now almost fully on land, winds are expected to weaken by Wednesday evening.

In Bangladesh, thousands of people in 200 villages were marooned as their homes, shops, and farms were flooded by tidal surges.

In southern Patuakhali district, more than 20 villages in Rangabali went underwater after two river embankments were washed away, said Mashfaqur Rahman, the area’s top administrator. He said at least 15,000 people had taken refuge in cyclone shelters.

In India, television images showed knee-deep water flooding the beachfront and other areas of Digha, a resort town in West Bengal. Wind gusts whipped palm trees back and forth, and overflowing water breached several river banks.

West Bengal state’s top elected official, Mamata Banerjee, told reporters that 20,000 mud huts and temporary shelters for the poor have been damaged along the coast.

On Tuesday, a tornado snapped electricity lines that electrocuted two people and damaged 40 houses, Banerjee said.

More than 17 centimeters (6.5 inches) of rain fell in Chandabali and Paradip regions of Odisha state since Tuesday, the meteorological department said. Tidal waves of up to four meters (13 feet) were forecast.

Kolkata and Bhubaneshwar airports were shut and train services canceled. Fishing trawlers and boats were told to take shelter.

The cyclone, coming amid a coronavirus surge, complicates India’s efforts to deal with both after another storm, Cyclone Tauktae, hit India’s west coast last week and killed more than 140 people.

Odisha’s chief minister, Naveen Patnaik, appealed to people in shelters to wear double masks and maintain social distancing. “We have to face both the challenges simultaneously,” Patnaik said.

Thousands of emergency personnel have been deployed to help with evacuations and rescue operations, said S.N. Pradhan, director of India’s National Disaster Response Force. The air force and navy were also on standby.

A year ago, the most powerful cyclone in more than a decade hit eastern India and killed nearly 100 people.

“We haven’t been able to fix the damage to our home from the last cyclone. Now another cyclone is coming, how will we stay here?” said Samitri, who uses only one name.

Some of the deadliest tropical cyclones on record have occurred in the Bay of Bengal. A 1999 super cyclone killed around 10,000 people and devastated large parts of Odisha. Due to improved forecasts and better relief coordination, the death toll from Cyclone Phailin, an equally intense storm in 2013, was less than 50, according to the World Meteorological Organization.

By Ashok Sharma and Julhas Alam