SAN JUAN, P.R. — The governor of Puerto Rico and the chief executive of its beleaguered electric company faced hours of questioning on Tuesday in Congress, where skeptical legislators questioned whether to give the island an enormous aid package on the heels of a botched high-priced contract to fix its power grid.

Gov. Ricardo A. Rosselló came to Senate and House committees with a huge ask: $94.4 billion to help Puerto Rico “build back better” after Hurricane Maria destroyed or damaged 472,000 homes and knocked out the island’s electricity. He also said that Puerto Rico should have more authority over its own fiscal affairs, and that he had “zero role” in awarding a highly criticized $300 million deal to a small Montana firm to help restore power.

“If we get more resources to rebuild, people will come back to rebuild stronger,” the governor said, alluding to the thousands of Puerto Ricans who have already left for Florida.

In a report submitted to Congress, Mr. Rosselló requested $15 billion for health care, without specifying what medical facilities needed to be fixed. He said the island needed another $8.4 billion for schools, without noting what damages the schools had incurred. The power grid, he said, needs $17.7 billion.