How I understood it is this:

First -- Based on EZPass $13.50 for the whole tpk at 241.26 miles, for these assumptions below, I'm using 5.6 cents/mile, and rounding to the nearest quarter per the Ohio Turnpike's 2020 toll schedules.

Westgate tolls would be based on 32.2 miles, so let's assume $1.75 (32.2 × $0.056)

A new barrier toll will be constructed at the former Oak Openings/Fallen Timbers/Mile 49 service plazas. This will be very similar to PA Turnpike's set up with Gateway and Warrendale.

All trips that involve hitting that mile 49 barrier will pay a toll as if they went to mile 32.2. So let's say I got on at Exit 91 (Mile 91.6).

At mile 49 barrier, I will pay $3.25 ([91.6-32.2]×$0.056).

Now with the Youngstown barrier, it's a little more confusing since the tolling is indicated to only be Westbound. (This is probably because of the PA Turnpike's Eastbound only Gateway massive $12.20 Bill Me/$5.90 EzPass toll)

I'm going to assume that means Ohio will double the toll at Westgate. The turnpike enters Ohio beginning with Mile 241.26. The reference point for tolls is 220.8 here. So I assume the toll will be $2.50. (Ok, this is showing how bad the difference in Ohio and PA's toll rates is. Wow)

From the map, the new barrier is to be at Mile 211.

Let's say I got on EB at 91 again (mile 91.6). Now I will pay a $7.25 toll at the new mile 211 barrier.

Taking this all together, let's say I drive the entire turnpike West, I would pay $14.75

-$2.50 toll at Eastgate barrier

-$10.50 toll at Mile 49 barrier

-$1.75 toll at Westgate barrier

Driving East would be $12.25

-$1.75 toll at Westgate barrier

-$10.50 toll at Mile 211 barrier

-No toll at Eastgate barrier

So a round trip for the entire tpk would be $27.00 still. But of course, that is the 2020 rates and these changes aren't gonna magically appear this year.