It hink the best way to do this is to create a scaling factor which is applied to the second geom and right y-axis.
Sample code:
library(ggplot2)
library(ggpubr)
ggplot(data=df.melt, aes(x=xVal, y=value, colour=variable)) +
geom_point(size=2) +
geom_line(lwd=1) +
xlab("xVal") +
ylab("YValues") +
xlim(1,16) +
theme_cleveland()+
scale_y_continuous(sec.axis = sec_axis(~., name = "secondary",
labels = c(8.7351324973658093, 12.113308515702567, 11.422800742900453, 11.264309199970789,
11.390287790920843, 10.774426268894192, 10.587704437111881, 10.474954948318291,
10.568277685778472, 10.201545270338952, 9.939827283775747, 9.8062403381144761,
9.4110034623398231, 9.1211408116407641, 8.9369778116029489),
breaks=c(8.7351324973658093, 12.113308515702567, 11.422800742900453, 11.264309199970789,
11.390287790920843, 10.774426268894192, 10.587704437111881, 10.474954948318291,
10.568277685778472, 10.201545270338952, 9.939827283775747, 9.8062403381144761,
9.4110034623398231, 9.1211408116407641, 8.9369778116029489)) )
Plot:

You could improve the second axis by removing some of the values.
Sample code:
ggplot(data=df.melt, aes(x=xVal, y=value, colour=variable)) +
geom_point(size=2) +
geom_line(lwd=1) +
xlab("xVal") +
ylab("YValues") +
xlim(1,16) +
theme_cleveland()+
scale_y_continuous(sec.axis = sec_axis(~., name = "secondary",
labels = c(8.7351324973658093, 12.113308515702567,
11.422800742900453, 10.774426268894192,
10.201545270338952, 9.8062403381144761,
9.4110034623398231, 9.1211408116407641),
breaks=c(8.7351324973658093, 12.113308515702567,
11.422800742900453, 10.774426268894192,
10.201545270338952, 9.8062403381144761,
9.4110034623398231, 9.1211408116407641) ))+
theme(
axis.text.y.left = element_text(color = "blue"),
axis.text.y.right = element_text(color = "red", size=8),
)
Plot:

Sample data:
xVal = c(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
a = c(0.18340368127959822, 0.17496531617798133, 0.16772886654445848, 0.15934821062512169,
0.15390913489444036, 0.14578798884106348, 0.14524174121702108, 0.13958093302847951,
0.1365009715515553, 0.13337340345559975, 0.12995175856952607, 0.12583603207983862,
0.12180656145228715, 0.11824179486798418, 0.11524630600365712)
b = c(0.13544353787855531, 0.11345498050033079, 0.11449834060237293, 0.10479213576778054,
0.09677430524414686, 0.091990671548439179, 0.089965934807318487, 0.088711600335474206,
0.088923403079789909, 0.087989321310275717, 0.085424600757017272, 0.08251334730889931,
0.080178280060313953, 0.077717041621392688, 0.076638743116633837)
c = c(0.087351324973658093, 0.12113308515702567, 0.11422800742900453, 0.11264309199970789,
0.11390287790920843, 0.10774426268894192, 0.10587704437111881, 0.10474954948318291,
0.10568277685778472, 0.10201545270338952, 0.09939827283775747, 0.098062403381144761,
0.094110034623398231, 0.091211408116407641, 0.089369778116029489)
c=c*100