Disclaimer: these are only guesses based on common wiring practices
It looks like your switch has one wired for 2-way operation and one for simple operation.
As per your top diagram:
- Left switch COM: This is your incoming live wire
- Left switch L1: This is the power out to the light on the 1-way
- Right switch COM: Traveller to the other end of 2-way
- Right switch L1: Traveller to the other end of 2-way
- Right Switch L2 Black: Traveller to the other end of 2-way
- Right switch L2 Brown: This is power out to the light on the 2-way
The 2-way circuit has been wired with the 'modern' style (https://www.sparkyfacts.co.uk/Wiring-Diagrams-Two-Way-Lighting-Circuit.php)
Your new switch wiring diagram looks to only allow for 1-way wiring, if you are happy with losing the 2-way switching, then connect as follows:
- the brown wire from the left COM to your new switches L
- The brown wire from the left L1 to your new switches L1
- The brown wire from the right L2 to your new switches L2
I would advise caution though because the other side of your 2-way is much more complex and I may be wrong.