I would avoid changing my bluffing frequency based on factors that can develop into a pattern. Avoiding bluffing, after you have been caught or when you just sit down, is not a pattern that I would like associated with me. I am just as likely to bluff with my first hand as with any other. I am just as likely to bluff the very next hand, even if I got caught. I don't let those sort of things determine my bluffing frequency or patterns.
I use the cards themselves, combined with my position and the action at the table. I try to have ranges where each street will develop with a variety of value
hands and bluffs. When I raise AQs UTG, it becomes a bluffing hand when I miss the flop and there is a single card of that suit (I give up when there's no backdoor flush possibility and I consider it more of a bet for value when there is a one-card flush draw with my overs). Generally, I look for hands that could develop some
equity.
I also bluff some of my very worst hands on the end. And, my bet-sizing is in line with any other bet that I might make. This includes going all-in. If I don't punt off a stack on the river every so often, and get called down, I am not bluffing enough. I don't mind getting called. It's expected that I will be called a certain amount of the time. If your bluffs are never called, you aren't bluffing nearly enough. Depending on pot and bet sizes, you will show a profit even getting called some of the time. Plus, getting called means you will be getting called with your value bets as well. They can't be calling only your bluffs and folding to your value bets.
The only other thing that I think really matters is a good idea of the range an opponent has. I play a game where I try and think of the range of hands they might have, and what they call with. Then, if I get called, I can compare that to my prediction. Did they just have a hand near the top that was always calling? Did they call with a hand that I thought they could have but would fold? Did they call with a hand that I didn't even think they could have? The better you get at this game, the better you become at finding spots to bluff.
Edit: The idea of not being caught bluffing as a problem comes from the same concept as the idea that "If you never miss your flight, you are spending too much time at airports." [
https://www.smithsonianmag.com/travel/case-missing-your-next-airline-flight-180951650/]