Couldn't find an Uber or Lyft ride when I was there for a week in July 2018. I used Epic Mountain Express which is a shared van shuttle. It was $39 each way per person. It was cheaper than a taxi as the resort is almost 35 miles from the airport. Hope this helps.
There is the bus of Eagle County ECO from the airport to the Vail transportation center, with a stop at lionshead where the Marriott is located, the fare is 4 USD trip, very convenient :)
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