I finally did it easy way by combinating two threads what I will try to merge here
How To: Get the Android Market on your eDGe
Before you get started, you need the following things:
Basically, this is what you do:
1. Root your eDGe. You can use several different procedures, but the easiest is probably just to download z4root from the Amazon Appstore. Make sure to select the "Permanent Root" option.
2. Next, install Titanium Backup and Root Explorer on your eDGe.
DO NOT START Titanium backup yet !
3. Download, unrar and copy folder on your edge internal storage
http://www.crocko.com/6F78D3A6CD9949...niumBackup.rar
4. On your eDGE, go into Titanium Backup. Then, you want to restore the gapps, which should be crossed out at the bottom of the screen (alternatively, if you've already been messing around with the gapps, you can just restore them on top of the old versions). When you restore, make sure to include BOTH the application AND the data. Moving the data from your phone to your eDGe is an essential part of this process.
5. Finally, you need to do a little text editing. On your eDGe, go into the root explorer and navigate to the system folder. Press "mount r/w" on the top of the screen. Press and hold on the "build.prop" file. Then, select "open in text editor." Find the line that says "ro.build.fingerprint." You want to change it to the following:
"ro.build.fingerprint=google/passion/passion/mahimahi:2.2/FRF91/43546:user/release-keys"
6. Menu - save&exit in root explorer app.
7. Reboot your machine.
8. Go into the Market and setup your Google account.
PS Leave it for some time online to update and sync everything.