Using the bar that's found in position "84 of libertinust1-mathrm. Fine tune the parameters if you want more precise positioning.
The first parameter is the vertical shift, the second parameter is the horizontal shift, the third parameter is the horizontal scaling. The bar is always vertically scaled at 80%.
\documentclass{article}
\usepackage{amsmath,graphicx}
\usepackage{libertinus}
\usepackage{libertinust1math}
\makeatletter
\DeclareRobustCommand{\tbar}{\text{\addbar@{-0.35ex}{0.07em}{1}}t}
\DeclareRobustCommand{\fbar}{\text{\addbar@{-0.35ex}{0.07em}{1.1}}f}
\DeclareRobustCommand{\pbar}{\text{\addbar@{-1.25ex}{-0.01em}{1}}p}
\newcommand{\addbar@}[3]{%
\makebox[0pt][l]{%
\raisebox{#1}[0pt][0pt]{%
\kern#2
\scalebox{#3}[0.8]{$\m@th\mathchar"84$}%
}%
}%
}
\makeatother
\begin{document}
$\tbar\ \fbar\ \pbar$
$\scriptstyle\tbar\ \fbar\ \pbar$
$\scriptscriptstyle\tbar\ \fbar\ \pbar$
\end{document}
