I see you are trying to do this with Java extensions. I don't know if and how this can work, but I can suggest a purely (almost) XSLT 1.0 solution. The following stylesheet:
XSLT 1.0
<xsl:stylesheet version="1.0"
xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
xmlns:date="http://exslt.org/dates-and-times"
extension-element-prefixes="date">
<xsl:output method="xml" version="1.0" encoding="UTF-8" indent="yes"/>
<xsl:variable name="today" select="date:date()" />
<xsl:template match="/">
<output>
<start>
<xsl:value-of select="concat(substring($today, 6, 2), '-', substring($today, 9, 2), '-', substring($today, 1, 4))" />
</start>
<end>
<xsl:call-template name="add-days-to-today">
<xsl:with-param name="days-to-add" select="90" />
</xsl:call-template>
</end>
</output>
</xsl:template>
<xsl:template name="add-days-to-today">
<xsl:param name="days-to-add"/>
<xsl:param name="year" select="substring($today, 1, 4)"/>
<xsl:param name="month" select="substring($today, 6, 2)"/>
<xsl:param name="day" select="substring($today, 9, 2)"/>
<xsl:param name="a" select="floor((14 - $month) div 12)"/>
<xsl:param name="y" select="$year + 4800 - $a"/>
<xsl:param name="m" select="$month + 12*$a - 3"/>
<xsl:param name="JDN" select="$day + floor((153*$m + 2) div 5) + 365*$y + floor($y div 4) - floor($y div 100) + floor($y div 400) - 32045 + $days-to-add" />
<xsl:param name="f" select="$JDN + 1401 + floor((floor((4 * $JDN + 274277) div 146097) * 3) div 4) - 38"/>
<xsl:param name="e" select="4*$f + 3"/>
<xsl:param name="g" select="floor(($e mod 1461) div 4)"/>
<xsl:param name="h" select="5*$g + 2"/>
<xsl:param name="D" select="floor(($h mod 153) div 5 ) + 1"/>
<xsl:param name="M" select="(floor($h div 153) + 2) mod 12 + 1"/>
<xsl:param name="Y" select="floor($e div 1461) - 4716 + floor((14 - $M) div 12)"/>
<xsl:param name="MM" select="format-number($M, '00')"/>
<xsl:param name="DD" select="format-number($D, '00')"/>
<xsl:value-of select="concat($MM, '-', $DD, '-', $Y)" />
</xsl:template>
</xsl:stylesheet>
when applied to any XML input (on Dec 11, 2014), returns:
<?xml version="1.0" encoding="UTF-8"?>
<output>
<start>12-11-2014</start>
<end>03-11-2015</end>
</output>
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