What's the difference between the に祈る【いのる】 and を祈る【いのる】 forms?

Question

What's the difference between the に祈る and を祈る forms?

Like what's the difference between (1.) and (2.):

1. うまく行くのに祈ってくださいね。
2. うまく行くのを祈ってくださいね。

EDIT: What's the difference between the ように祈る and のを祈る forms?

Like if what I want to say is "I pray that he will recover quickly", what's the difference between (1.) and (2.):

1. 早く治るように祈ります。

2. 早く治るのを祈ります。

Answer 1

1) うまく行くのに祈ってくださいね。

This looks strange. I'm not sure where you found it. のに means "although" making the sentence sound like: "Although it goes well, please pray."

I think you're confused with ように indicating a goal.

Most prayers are formed like this:　うまく行くように（祈る）。

2) うまく行くのを祈ってくださいね

This is the correct form for the transitive verb　祈る

Can also replace の with こと

EDIT:

1- ように indicates the goal. You pray so that things goes well. Prayers in temples are formed like this and many people before an exam for example or before a speech will address a prayer like this. (no need to be in a temple) The verb 祈る is sometimes omitted.

2- Vb + の/ことを祈る

This is more of an everyday hope expression, a wish for luck. (second meaning of 祈る is "to wish")

Most people will translate うまく行くことを祈りましょう as "Let's cross our fingers"

You can also say: 成功を祈ってね -> "'pray' for my success" or "wish me success" Or something like:

頑張って！成功を祈るよ！

3- And thanks to istrasci for pointing out that using only に indicates to whom you address the prayer: 神様に祈る

Answer 2

1) Pray so that it goes well
2) Pray that it goes well.

This quite direct grammatically speaking. Nothing fancy here. に is the aim of the prayer, and を is the content of the prayer.