Most newer cars have a 1-R synchro. The transmission in my 1990 MY Mazda does, for example, and that was used in Ford trucks dating back to the 80's. The 01 Chrysler does as well.
Double-Clutching you can shift almost anything without synchromesh, even in ancient manual transmissions with no synchros in any gear, so learn that skill.
You do still need to match revs when downshifting with synchros. Also, syncromesh requires a certain amount of time before they will be at the proper speed; that is why racing transmissions don't have them (no wait time required if revs match).
So slow down your shifting regimen and see if that helps. Engage the clutch, blip your throttle to rev match, hold the clutch in until it slips easily into gear and then declutch. Generally a syncho needs somewhere around 1~2 seconds to work as intended.
Rev matching is important, done right you don't even need to use the clutch, but it's a skill that requires some learning time.
Double-Clutching you can shift almost anything without synchromesh, even in ancient manual transmissions with no synchros in any gear, so learn that skill.
You do still need to match revs when downshifting with synchros. Also, syncromesh requires a certain amount of time before they will be at the proper speed; that is why racing transmissions don't have them (no wait time required if revs match).
So slow down your shifting regimen and see if that helps. Engage the clutch, blip your throttle to rev match, hold the clutch in until it slips easily into gear and then declutch. Generally a syncho needs somewhere around 1~2 seconds to work as intended.
Rev matching is important, done right you don't even need to use the clutch, but it's a skill that requires some learning time.