The command find . -name '*2015*' -mmin +1440 -ls will probably do what you want. See below for details.
Your first command had -name 2015. It did not work because it finds only files whose names are exactly 2015, with no other characters in them.
Your second command, find . -name *2015* -mtime +1 -exec ls -ltrh {} \;, might have failed for a couple of reasons:
1. Unquoted * characters are expanded by the shell, then passed on to find.
If there are any files directly contained in the current directory (the one you're in when you ran that find ... command) whose names contain 2015 (and don't start with a .), then the shell expanded *2015* into a list of those filenames, then passed that list as arguments to find. This is not what you want--instead, you want to pass *2015* literally as an argument to find, so that find, and not the shell, can find which files match it.
To fix that problem, quote *2015*. There are three common ways to do it:
'*2015*' (i.e., find . -name '*2015*' -mtime +1 -exec ls -ltrh {} \;)
"*2015*" (i.e., find . -name "*2015*" -mtime +1 -exec ls -ltrh {} \;)
\*2015\* (i.e., find . -name \*2015\* -mtime +1 -exec ls -ltrh {} \;)
I suggest writing it with single quotes as '*2015*', because:
But in this case it doesn't really matter. ' and " both treat * the same and the expression isn't complicated enough for \ quoting to make it hard to understand.
2. -mtime +1 only selects files modified two or more days ago.
As man find says:
Numeric arguments can be specified as
<em>+n</em> for greater than <em>n</em>,
<em>-n</em> for less than <em>n</em>,
<em>n</em> for exactly <em>n</em>.
-mtime n
File's data was last modified n*24 hours ago. See the comments
for -atime to understand how rounding affects the interpretation
of file modification times.
-atime n
File was last accessed n*24 hours ago. When find figures out
how many 24-hour periods ago the file was last accessed, any
fractional part is ignored, so to match -atime +1, a file has to
have been accessed at least two days ago.
Suppose a file was modified 47 hours ago. To figure out how many 24-hour periods that is, find rounds down: it is one 24-hour period ago. But -mtime +1 matches only files whose modification times are strictly more than one 24-hour period ago. Thus files from yesterday are not matched.
See Why does find -mtime +1 only return files older than 2 days? for more information, as suggested by steeldriver.
To find files last modified anytime more than 24 hours ago, I suggest instead stipulating it as 1440 minutes ago with -mmin +1440:
find . -name '*2015*' -mmin +1440 -exec ls -ltrh {} \;
Some readers might be wondering why I did not quote {}. Some people quote {} to remind humans that it is not an expression for brace expansion. Bourne-style shells (like bash) don't require {} with nothing inside to be quoted. Maybe some non-Bourne-style shell does treat it specially; that might be why some users quote it. But there's also a misconception that one must sometimes quote {} so -exec handles filenames with spaces correctly. That;s false: with {} or '{}', find gets the same arguments, as the shell removes the quotes before passing '{}' to find. To counter this misconception, I don't quote {}, but it's a matter of style--if you prefer {} to document how the shell isn't treating { and } specially, that's fine.
I recommend you also either change your ls command, or (as muru has suggested) replace it with find's -ls action. ls -ltrh is probably not doing what you intend because it is run separately for each file found and thus the -t and -r flags, which specify sorting, are irrelevant.
Though the output will be formatted a bit differently than with ls -l, using -ls is simpler and easier.
find . -name '*2015*' -mmin +1440 -ls
Or if you decide you really only need to list the file's names (including their paths, relative to .), you can simply specify no action, causing the default -print action to be used:
find . -name '*2015*' -mmin +1440