EVO and EVN have different ways of calculating how much time passes per landing and per jump. I originally explained this here. A quick summary is as follows.
EVO 1.0.2
Landing
At least one day always passes on take-off. An extra day passes if you buy or sell anything in the outfitter. An extra day passes for every two escorts you have. An extra four days pass if you buy a new ship.
1 day + (1 day if outfitted) + (1 day if 2-3 escorts, 2 days if 4-5 escorts, 3 days if 6 escorts) + (4 if bought ship)
Jumping
The number of days that pass in a hyperjump depends solely on the mass of the player's ship. Escorts have no effect.
Nova 1.0.8 (when my tests were done)
Landing
Landing takes 1 day plus 1 day if you buy or sell any outfits, plus 4 days if you buy a ship. Escorts don't affect land-fall durations in Nova.
Jumping
A jump takes as long as it would take the heaviest ship in the player's fleet. I did not test whether mission-granted escorts affect jump times, but I suspect they do not.
Clarification
You can enter the shipyard or outfitter without extra time passing. It's only if you buy or sell anything when that happens. Escort size only affects jump-times in Nova. Escort number affects landing times in Override. The Commodity Exchange does not add time to a planet-fall.